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Finding the Fourth Proportional to 502.68, 752.58 and 374.04

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Solution

The fourth proportional to 502.68, 752.58 and 374.04 is: 559.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.68 : 752.58 = 374.04 : x
  2. Step 2: Convert to fraction form
    502.68/752.58 = 374.04/x
  3. Step 3: Cross multiply
    502.68x = 752.58 × 374.04
  4. Step 4: Simplify right side
    502.68x = 281,495.02
  5. Step 5: Solve for x
    x = 281,495.02/502.68
  6. Step 6: Final answer
    x = 559.99

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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.