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Finding the Fourth Proportional to 781.98, 1,078.86 and 471.30

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Solution

The fourth proportional to 781.98, 1,078.86 and 471.30 is: 650.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.98 : 1,078.86 = 471.30 : x
  2. Step 2: Convert to fraction form
    781.98/1,078.86 = 471.30/x
  3. Step 3: Cross multiply
    781.98x = 1,078.86 × 471.30
  4. Step 4: Simplify right side
    781.98x = 508,466.72
  5. Step 5: Solve for x
    x = 508,466.72/781.98
  6. Step 6: Final answer
    x = 650.23

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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.