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Finding the Fourth Proportional to 1,062.75, 1,592.50 and 961.59

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Solution

The fourth proportional to 1,062.75, 1,592.50 and 961.59 is: 1,440.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.75 : 1,592.50 = 961.59 : x
  2. Step 2: Convert to fraction form
    1,062.75/1,592.50 = 961.59/x
  3. Step 3: Cross multiply
    1,062.75x = 1,592.50 × 961.59
  4. Step 4: Simplify right side
    1,062.75x = 1,531,332.08
  5. Step 5: Solve for x
    x = 1,531,332.08/1,062.75
  6. Step 6: Final answer
    x = 1,440.91

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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.