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Finding the Fourth Proportional to 631.63, 871.49 and 410.55

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Solution

The fourth proportional to 631.63, 871.49 and 410.55 is: 566.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.63 : 871.49 = 410.55 : x
  2. Step 2: Convert to fraction form
    631.63/871.49 = 410.55/x
  3. Step 3: Cross multiply
    631.63x = 871.49 × 410.55
  4. Step 4: Simplify right side
    631.63x = 357,787.98
  5. Step 5: Solve for x
    x = 357,787.98/631.63
  6. Step 6: Final answer
    x = 566.45

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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.