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Finding the Fourth Proportional to 1,101.80, 1,653.30 and 614.58

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Solution

The fourth proportional to 1,101.80, 1,653.30 and 614.58 is: 922.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.80 : 1,653.30 = 614.58 : x
  2. Step 2: Convert to fraction form
    1,101.80/1,653.30 = 614.58/x
  3. Step 3: Cross multiply
    1,101.80x = 1,653.30 × 614.58
  4. Step 4: Simplify right side
    1,101.80x = 1,016,085.11
  5. Step 5: Solve for x
    x = 1,016,085.11/1,101.80
  6. Step 6: Final answer
    x = 922.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.