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Finding the Fourth Proportional to 529.90, 731.38 and 405.38

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Solution

The fourth proportional to 529.90, 731.38 and 405.38 is: 559.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.90 : 731.38 = 405.38 : x
  2. Step 2: Convert to fraction form
    529.90/731.38 = 405.38/x
  3. Step 3: Cross multiply
    529.90x = 731.38 × 405.38
  4. Step 4: Simplify right side
    529.90x = 296,486.82
  5. Step 5: Solve for x
    x = 296,486.82/529.90
  6. Step 6: Final answer
    x = 559.51

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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.