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Finding the Fourth Proportional to 1,159.90, 1,736.69 and 665.87

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Solution

The fourth proportional to 1,159.90, 1,736.69 and 665.87 is: 996.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.90 : 1,736.69 = 665.87 : x
  2. Step 2: Convert to fraction form
    1,159.90/1,736.69 = 665.87/x
  3. Step 3: Cross multiply
    1,159.90x = 1,736.69 × 665.87
  4. Step 4: Simplify right side
    1,159.90x = 1,156,397.76
  5. Step 5: Solve for x
    x = 1,156,397.76/1,159.90
  6. Step 6: Final answer
    x = 996.98

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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.