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Finding the Fourth Proportional to 1,159.34, 1,599.89 and 635.40

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Solution

The fourth proportional to 1,159.34, 1,599.89 and 635.40 is: 876.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.34 : 1,599.89 = 635.40 : x
  2. Step 2: Convert to fraction form
    1,159.34/1,599.89 = 635.40/x
  3. Step 3: Cross multiply
    1,159.34x = 1,599.89 × 635.40
  4. Step 4: Simplify right side
    1,159.34x = 1,016,566.93
  5. Step 5: Solve for x
    x = 1,016,566.93/1,159.34
  6. Step 6: Final answer
    x = 876.85

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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.