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Finding the Fourth Proportional to 907.71, 1,355.84 and 724.55

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Solution

The fourth proportional to 907.71, 1,355.84 and 724.55 is: 1,082.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.71 : 1,355.84 = 724.55 : x
  2. Step 2: Convert to fraction form
    907.71/1,355.84 = 724.55/x
  3. Step 3: Cross multiply
    907.71x = 1,355.84 × 724.55
  4. Step 4: Simplify right side
    907.71x = 982,366.19
  5. Step 5: Solve for x
    x = 982,366.19/907.71
  6. Step 6: Final answer
    x = 1,082.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.