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Finding the Fourth Proportional to 624.52, 858.64 and 557.52

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Solution

The fourth proportional to 624.52, 858.64 and 557.52 is: 766.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.52 : 858.64 = 557.52 : x
  2. Step 2: Convert to fraction form
    624.52/858.64 = 557.52/x
  3. Step 3: Cross multiply
    624.52x = 858.64 × 557.52
  4. Step 4: Simplify right side
    624.52x = 478,708.97
  5. Step 5: Solve for x
    x = 478,708.97/624.52
  6. Step 6: Final answer
    x = 766.52

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.