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Finding the Fourth Proportional to 458.10, 631.95 and 395.91

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Solution

The fourth proportional to 458.10, 631.95 and 395.91 is: 546.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.10 : 631.95 = 395.91 : x
  2. Step 2: Convert to fraction form
    458.10/631.95 = 395.91/x
  3. Step 3: Cross multiply
    458.10x = 631.95 × 395.91
  4. Step 4: Simplify right side
    458.10x = 250,195.32
  5. Step 5: Solve for x
    x = 250,195.32/458.10
  6. Step 6: Final answer
    x = 546.16

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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.