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Finding the Fourth Proportional to 502.88, 751.12 and 456.80

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Solution

The fourth proportional to 502.88, 751.12 and 456.80 is: 682.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.88 : 751.12 = 456.80 : x
  2. Step 2: Convert to fraction form
    502.88/751.12 = 456.80/x
  3. Step 3: Cross multiply
    502.88x = 751.12 × 456.80
  4. Step 4: Simplify right side
    502.88x = 343,111.62
  5. Step 5: Solve for x
    x = 343,111.62/502.88
  6. Step 6: Final answer
    x = 682.29

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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.