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Finding the Fourth Proportional to 1,159.87, 1,600.65 and 635.91

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Solution

The fourth proportional to 1,159.87, 1,600.65 and 635.91 is: 877.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.87 : 1,600.65 = 635.91 : x
  2. Step 2: Convert to fraction form
    1,159.87/1,600.65 = 635.91/x
  3. Step 3: Cross multiply
    1,159.87x = 1,600.65 × 635.91
  4. Step 4: Simplify right side
    1,159.87x = 1,017,869.34
  5. Step 5: Solve for x
    x = 1,017,869.34/1,159.87
  6. Step 6: Final answer
    x = 877.57

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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.