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Finding the Fourth Proportional to 457.18, 684.65 and 392.38

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Solution

The fourth proportional to 457.18, 684.65 and 392.38 is: 587.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.18 : 684.65 = 392.38 : x
  2. Step 2: Convert to fraction form
    457.18/684.65 = 392.38/x
  3. Step 3: Cross multiply
    457.18x = 684.65 × 392.38
  4. Step 4: Simplify right side
    457.18x = 268,642.24
  5. Step 5: Solve for x
    x = 268,642.24/457.18
  6. Step 6: Final answer
    x = 587.61

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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.