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Finding the Fourth Proportional to 457.62, 688.97 and 314.28

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Solution

The fourth proportional to 457.62, 688.97 and 314.28 is: 473.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.62 : 688.97 = 314.28 : x
  2. Step 2: Convert to fraction form
    457.62/688.97 = 314.28/x
  3. Step 3: Cross multiply
    457.62x = 688.97 × 314.28
  4. Step 4: Simplify right side
    457.62x = 216,527.92
  5. Step 5: Solve for x
    x = 216,527.92/457.62
  6. Step 6: Final answer
    x = 473.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.