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Finding the Fourth Proportional to 529.07, 729.81 and 307.97

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Solution

The fourth proportional to 529.07, 729.81 and 307.97 is: 424.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.07 : 729.81 = 307.97 : x
  2. Step 2: Convert to fraction form
    529.07/729.81 = 307.97/x
  3. Step 3: Cross multiply
    529.07x = 729.81 × 307.97
  4. Step 4: Simplify right side
    529.07x = 224,758.67
  5. Step 5: Solve for x
    x = 224,758.67/529.07
  6. Step 6: Final answer
    x = 424.82

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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.