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Finding the Fourth Proportional to 631.68, 872.01 and 458.34

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Solution

The fourth proportional to 631.68, 872.01 and 458.34 is: 632.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.68 : 872.01 = 458.34 : x
  2. Step 2: Convert to fraction form
    631.68/872.01 = 458.34/x
  3. Step 3: Cross multiply
    631.68x = 872.01 × 458.34
  4. Step 4: Simplify right side
    631.68x = 399,677.06
  5. Step 5: Solve for x
    x = 399,677.06/631.68
  6. Step 6: Final answer
    x = 632.72

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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.