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Finding the Fourth Proportional to 1,158.89, 1,599.28 and 634.92

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Solution

The fourth proportional to 1,158.89, 1,599.28 and 634.92 is: 876.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.89 : 1,599.28 = 634.92 : x
  2. Step 2: Convert to fraction form
    1,158.89/1,599.28 = 634.92/x
  3. Step 3: Cross multiply
    1,158.89x = 1,599.28 × 634.92
  4. Step 4: Simplify right side
    1,158.89x = 1,015,416.27
  5. Step 5: Solve for x
    x = 1,015,416.27/1,158.89
  6. Step 6: Final answer
    x = 876.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.