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Finding the Fourth Proportional to 624.56, 859.96 and 535.92

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Solution

The fourth proportional to 624.56, 859.96 and 535.92 is: 737.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.56 : 859.96 = 535.92 : x
  2. Step 2: Convert to fraction form
    624.56/859.96 = 535.92/x
  3. Step 3: Cross multiply
    624.56x = 859.96 × 535.92
  4. Step 4: Simplify right side
    624.56x = 460,869.76
  5. Step 5: Solve for x
    x = 460,869.76/624.56
  6. Step 6: Final answer
    x = 737.91

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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.