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Finding the Fourth Proportional to 529.63, 730.89 and 308.59

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Solution

The fourth proportional to 529.63, 730.89 and 308.59 is: 425.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.63 : 730.89 = 308.59 : x
  2. Step 2: Convert to fraction form
    529.63/730.89 = 308.59/x
  3. Step 3: Cross multiply
    529.63x = 730.89 × 308.59
  4. Step 4: Simplify right side
    529.63x = 225,545.35
  5. Step 5: Solve for x
    x = 225,545.35/529.63
  6. Step 6: Final answer
    x = 425.85

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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.