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Finding the Fourth Proportional to 1,538.49, 2,306.61 and 613.77

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Solution

The fourth proportional to 1,538.49, 2,306.61 and 613.77 is: 920.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.49 : 2,306.61 = 613.77 : x
  2. Step 2: Convert to fraction form
    1,538.49/2,306.61 = 613.77/x
  3. Step 3: Cross multiply
    1,538.49x = 2,306.61 × 613.77
  4. Step 4: Simplify right side
    1,538.49x = 1,415,728.02
  5. Step 5: Solve for x
    x = 1,415,728.02/1,538.49
  6. Step 6: Final answer
    x = 920.21

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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.