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Finding the Fourth Proportional to 529.86, 730.17 and 405.66

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Solution

The fourth proportional to 529.86, 730.17 and 405.66 is: 559.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.86 : 730.17 = 405.66 : x
  2. Step 2: Convert to fraction form
    529.86/730.17 = 405.66/x
  3. Step 3: Cross multiply
    529.86x = 730.17 × 405.66
  4. Step 4: Simplify right side
    529.86x = 296,200.76
  5. Step 5: Solve for x
    x = 296,200.76/529.86
  6. Step 6: Final answer
    x = 559.02

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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.