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Finding the Fourth Proportional to 457.32, 688.80 and 406.56

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Solution

The fourth proportional to 457.32, 688.80 and 406.56 is: 612.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.32 : 688.80 = 406.56 : x
  2. Step 2: Convert to fraction form
    457.32/688.80 = 406.56/x
  3. Step 3: Cross multiply
    457.32x = 688.80 × 406.56
  4. Step 4: Simplify right side
    457.32x = 280,038.53
  5. Step 5: Solve for x
    x = 280,038.53/457.32
  6. Step 6: Final answer
    x = 612.35

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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.