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Finding the Fourth Proportional to 1,191.69, 1,640.52 and 1,024.97

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Solution

The fourth proportional to 1,191.69, 1,640.52 and 1,024.97 is: 1,411.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.69 : 1,640.52 = 1,024.97 : x
  2. Step 2: Convert to fraction form
    1,191.69/1,640.52 = 1,024.97/x
  3. Step 3: Cross multiply
    1,191.69x = 1,640.52 × 1,024.97
  4. Step 4: Simplify right side
    1,191.69x = 1,681,475.58
  5. Step 5: Solve for x
    x = 1,681,475.58/1,191.69
  6. Step 6: Final answer
    x = 1,411.00

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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.