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Finding the Fourth Proportional to 925.76, 1,277.53 and 532.76

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Solution

The fourth proportional to 925.76, 1,277.53 and 532.76 is: 735.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.76 : 1,277.53 = 532.76 : x
  2. Step 2: Convert to fraction form
    925.76/1,277.53 = 532.76/x
  3. Step 3: Cross multiply
    925.76x = 1,277.53 × 532.76
  4. Step 4: Simplify right side
    925.76x = 680,616.88
  5. Step 5: Solve for x
    x = 680,616.88/925.76
  6. Step 6: Final answer
    x = 735.20

Related Problems

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Half scale
Find fourth proportional to 1,851.52, 2,555.06 and 1,065.52
Double scale
Find fourth proportional to 926.76, 1,278.91 and 533.76
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.