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Finding the Fourth Proportional to 1,101.74, 1,520.52 and 653.88

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Solution

The fourth proportional to 1,101.74, 1,520.52 and 653.88 is: 902.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.74 : 1,520.52 = 653.88 : x
  2. Step 2: Convert to fraction form
    1,101.74/1,520.52 = 653.88/x
  3. Step 3: Cross multiply
    1,101.74x = 1,520.52 × 653.88
  4. Step 4: Simplify right side
    1,101.74x = 994,237.62
  5. Step 5: Solve for x
    x = 994,237.62/1,101.74
  6. Step 6: Final answer
    x = 902.42

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1.5x scale

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.