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Finding the Fourth Proportional to 1,071.27, 1,600.79 and 761.45

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Solution

The fourth proportional to 1,071.27, 1,600.79 and 761.45 is: 1,137.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.27 : 1,600.79 = 761.45 : x
  2. Step 2: Convert to fraction form
    1,071.27/1,600.79 = 761.45/x
  3. Step 3: Cross multiply
    1,071.27x = 1,600.79 × 761.45
  4. Step 4: Simplify right side
    1,071.27x = 1,218,909.73
  5. Step 5: Solve for x
    x = 1,218,909.73/1,071.27
  6. Step 6: Final answer
    x = 1,137.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.