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Finding the Fourth Proportional to 500.62, 751.65 and 371.02

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Solution

The fourth proportional to 500.62, 751.65 and 371.02 is: 557.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.62 : 751.65 = 371.02 : x
  2. Step 2: Convert to fraction form
    500.62/751.65 = 371.02/x
  3. Step 3: Cross multiply
    500.62x = 751.65 × 371.02
  4. Step 4: Simplify right side
    500.62x = 278,877.18
  5. Step 5: Solve for x
    x = 278,877.18/500.62
  6. Step 6: Final answer
    x = 557.06

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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.