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Finding the Fourth Proportional to 1,103.20, 1,522.24 and 710.75

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Solution

The fourth proportional to 1,103.20, 1,522.24 and 710.75 is: 980.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.20 : 1,522.24 = 710.75 : x
  2. Step 2: Convert to fraction form
    1,103.20/1,522.24 = 710.75/x
  3. Step 3: Cross multiply
    1,103.20x = 1,522.24 × 710.75
  4. Step 4: Simplify right side
    1,103.20x = 1,081,932.08
  5. Step 5: Solve for x
    x = 1,081,932.08/1,103.20
  6. Step 6: Final answer
    x = 980.72

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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.