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Finding the Fourth Proportional to 502.12, 751.02 and 497.80

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Solution

The fourth proportional to 502.12, 751.02 and 497.80 is: 744.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.12 : 751.02 = 497.80 : x
  2. Step 2: Convert to fraction form
    502.12/751.02 = 497.80/x
  3. Step 3: Cross multiply
    502.12x = 751.02 × 497.80
  4. Step 4: Simplify right side
    502.12x = 373,857.76
  5. Step 5: Solve for x
    x = 373,857.76/502.12
  6. Step 6: Final answer
    x = 744.56

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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.