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Finding the Fourth Proportional to 707.59, 1,060.24 and 432.85

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Solution

The fourth proportional to 707.59, 1,060.24 and 432.85 is: 648.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.59 : 1,060.24 = 432.85 : x
  2. Step 2: Convert to fraction form
    707.59/1,060.24 = 432.85/x
  3. Step 3: Cross multiply
    707.59x = 1,060.24 × 432.85
  4. Step 4: Simplify right side
    707.59x = 458,924.88
  5. Step 5: Solve for x
    x = 458,924.88/707.59
  6. Step 6: Final answer
    x = 648.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.