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Finding the Fourth Proportional to 529.89, 731.06 and 355.35

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Solution

The fourth proportional to 529.89, 731.06 and 355.35 is: 490.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.89 : 731.06 = 355.35 : x
  2. Step 2: Convert to fraction form
    529.89/731.06 = 355.35/x
  3. Step 3: Cross multiply
    529.89x = 731.06 × 355.35
  4. Step 4: Simplify right side
    529.89x = 259,780.39
  5. Step 5: Solve for x
    x = 259,780.39/529.89
  6. Step 6: Final answer
    x = 490.25

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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.