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Finding the Fourth Proportional to 675.52, 932.16 and 380.76

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Solution

The fourth proportional to 675.52, 932.16 and 380.76 is: 525.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.52 : 932.16 = 380.76 : x
  2. Step 2: Convert to fraction form
    675.52/932.16 = 380.76/x
  3. Step 3: Cross multiply
    675.52x = 932.16 × 380.76
  4. Step 4: Simplify right side
    675.52x = 354,929.24
  5. Step 5: Solve for x
    x = 354,929.24/675.52
  6. Step 6: Final answer
    x = 525.42

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Half scale
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Double scale
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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.