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Finding the Fourth Proportional to 500.13, 743.90 and 456.30

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Solution

The fourth proportional to 500.13, 743.90 and 456.30 is: 678.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.13 : 743.90 = 456.30 : x
  2. Step 2: Convert to fraction form
    500.13/743.90 = 456.30/x
  3. Step 3: Cross multiply
    500.13x = 743.90 × 456.30
  4. Step 4: Simplify right side
    500.13x = 339,439.29
  5. Step 5: Solve for x
    x = 339,439.29/500.13
  6. Step 6: Final answer
    x = 678.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.