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Finding the Fourth Proportional to 457.18, 631.66 and 364.72

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Solution

The fourth proportional to 457.18, 631.66 and 364.72 is: 503.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.18 : 631.66 = 364.72 : x
  2. Step 2: Convert to fraction form
    457.18/631.66 = 364.72/x
  3. Step 3: Cross multiply
    457.18x = 631.66 × 364.72
  4. Step 4: Simplify right side
    457.18x = 230,379.04
  5. Step 5: Solve for x
    x = 230,379.04/457.18
  6. Step 6: Final answer
    x = 503.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.