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Finding the Fourth Proportional to 1,158.87, 1,599.11 and 686.78

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Solution

The fourth proportional to 1,158.87, 1,599.11 and 686.78 is: 947.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.87 : 1,599.11 = 686.78 : x
  2. Step 2: Convert to fraction form
    1,158.87/1,599.11 = 686.78/x
  3. Step 3: Cross multiply
    1,158.87x = 1,599.11 × 686.78
  4. Step 4: Simplify right side
    1,158.87x = 1,098,225.34
  5. Step 5: Solve for x
    x = 1,098,225.34/1,158.87
  6. Step 6: Final answer
    x = 947.67

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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.