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Finding the Fourth Proportional to 1,158.98, 1,599.36 and 635.01

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Solution

The fourth proportional to 1,158.98, 1,599.36 and 635.01 is: 876.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.98 : 1,599.36 = 635.01 : x
  2. Step 2: Convert to fraction form
    1,158.98/1,599.36 = 635.01/x
  3. Step 3: Cross multiply
    1,158.98x = 1,599.36 × 635.01
  4. Step 4: Simplify right side
    1,158.98x = 1,015,601.21
  5. Step 5: Solve for x
    x = 1,015,601.21/1,158.98
  6. Step 6: Final answer
    x = 876.29

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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.