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Finding the Fourth Proportional to 842.57, 1,263.03 and 431.90

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Solution

The fourth proportional to 842.57, 1,263.03 and 431.90 is: 647.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.57 : 1,263.03 = 431.90 : x
  2. Step 2: Convert to fraction form
    842.57/1,263.03 = 431.90/x
  3. Step 3: Cross multiply
    842.57x = 1,263.03 × 431.90
  4. Step 4: Simplify right side
    842.57x = 545,496.34
  5. Step 5: Solve for x
    x = 545,496.34/842.57
  6. Step 6: Final answer
    x = 647.42

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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.