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Finding the Fourth Proportional to 581.71, 871.92 and 420.10

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Solution

The fourth proportional to 581.71, 871.92 and 420.10 is: 629.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.71 : 871.92 = 420.10 : x
  2. Step 2: Convert to fraction form
    581.71/871.92 = 420.10/x
  3. Step 3: Cross multiply
    581.71x = 871.92 × 420.10
  4. Step 4: Simplify right side
    581.71x = 366,293.59
  5. Step 5: Solve for x
    x = 366,293.59/581.71
  6. Step 6: Final answer
    x = 629.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.