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Finding the Fourth Proportional to 926.42, 1,278.20 and 553.23

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Solution

The fourth proportional to 926.42, 1,278.20 and 553.23 is: 763.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.42 : 1,278.20 = 553.23 : x
  2. Step 2: Convert to fraction form
    926.42/1,278.20 = 553.23/x
  3. Step 3: Cross multiply
    926.42x = 1,278.20 × 553.23
  4. Step 4: Simplify right side
    926.42x = 707,139.97
  5. Step 5: Solve for x
    x = 707,139.97/926.42
  6. Step 6: Final answer
    x = 763.31

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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.