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Finding the Fourth Proportional to 1,102.48, 1,520.98 and 630.30

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Solution

The fourth proportional to 1,102.48, 1,520.98 and 630.30 is: 869.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.48 : 1,520.98 = 630.30 : x
  2. Step 2: Convert to fraction form
    1,102.48/1,520.98 = 630.30/x
  3. Step 3: Cross multiply
    1,102.48x = 1,520.98 × 630.30
  4. Step 4: Simplify right side
    1,102.48x = 958,672.12
  5. Step 5: Solve for x
    x = 958,672.12/1,102.48
  6. Step 6: Final answer
    x = 869.56

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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.