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Finding the Fourth Proportional to 529.95, 731.31 and 297.07

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Solution

The fourth proportional to 529.95, 731.31 and 297.07 is: 409.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.95 : 731.31 = 297.07 : x
  2. Step 2: Convert to fraction form
    529.95/731.31 = 297.07/x
  3. Step 3: Cross multiply
    529.95x = 731.31 × 297.07
  4. Step 4: Simplify right side
    529.95x = 217,250.26
  5. Step 5: Solve for x
    x = 217,250.26/529.95
  6. Step 6: Final answer
    x = 409.94

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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.