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Finding the Fourth Proportional to 457.76, 686.40 and 313.52

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Solution

The fourth proportional to 457.76, 686.40 and 313.52 is: 470.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.76 : 686.40 = 313.52 : x
  2. Step 2: Convert to fraction form
    457.76/686.40 = 313.52/x
  3. Step 3: Cross multiply
    457.76x = 686.40 × 313.52
  4. Step 4: Simplify right side
    457.76x = 215,200.13
  5. Step 5: Solve for x
    x = 215,200.13/457.76
  6. Step 6: Final answer
    x = 470.12

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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.