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Finding the Fourth Proportional to 529.88, 731.24 and 297.05

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Solution

The fourth proportional to 529.88, 731.24 and 297.05 is: 409.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.88 : 731.24 = 297.05 : x
  2. Step 2: Convert to fraction form
    529.88/731.24 = 297.05/x
  3. Step 3: Cross multiply
    529.88x = 731.24 × 297.05
  4. Step 4: Simplify right side
    529.88x = 217,209.70
  5. Step 5: Solve for x
    x = 217,209.70/529.88
  6. Step 6: Final answer
    x = 409.93

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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.