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Finding the Fourth Proportional to 1,101.13, 1,520.08 and 703.22

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Solution

The fourth proportional to 1,101.13, 1,520.08 and 703.22 is: 970.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.13 : 1,520.08 = 703.22 : x
  2. Step 2: Convert to fraction form
    1,101.13/1,520.08 = 703.22/x
  3. Step 3: Cross multiply
    1,101.13x = 1,520.08 × 703.22
  4. Step 4: Simplify right side
    1,101.13x = 1,068,950.66
  5. Step 5: Solve for x
    x = 1,068,950.66/1,101.13
  6. Step 6: Final answer
    x = 970.78

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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.