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Finding the Fourth Proportional to 456.71, 630.31 and 442.35

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Solution

The fourth proportional to 456.71, 630.31 and 442.35 is: 610.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.71 : 630.31 = 442.35 : x
  2. Step 2: Convert to fraction form
    456.71/630.31 = 442.35/x
  3. Step 3: Cross multiply
    456.71x = 630.31 × 442.35
  4. Step 4: Simplify right side
    456.71x = 278,817.88
  5. Step 5: Solve for x
    x = 278,817.88/456.71
  6. Step 6: Final answer
    x = 610.50

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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.