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Finding the Fourth Proportional to 947.28, 1,306.88 and 597.36

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Solution

The fourth proportional to 947.28, 1,306.88 and 597.36 is: 824.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.28 : 1,306.88 = 597.36 : x
  2. Step 2: Convert to fraction form
    947.28/1,306.88 = 597.36/x
  3. Step 3: Cross multiply
    947.28x = 1,306.88 × 597.36
  4. Step 4: Simplify right side
    947.28x = 780,677.84
  5. Step 5: Solve for x
    x = 780,677.84/947.28
  6. Step 6: Final answer
    x = 824.13

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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.