Home / 1,158.20-1,598.31-716.87

Finding the Fourth Proportional to 1,158.20, 1,598.31 and 716.87

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Solution

The fourth proportional to 1,158.20, 1,598.31 and 716.87 is: 989.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.20 : 1,598.31 = 716.87 : x
  2. Step 2: Convert to fraction form
    1,158.20/1,598.31 = 716.87/x
  3. Step 3: Cross multiply
    1,158.20x = 1,598.31 × 716.87
  4. Step 4: Simplify right side
    1,158.20x = 1,145,772.50
  5. Step 5: Solve for x
    x = 1,145,772.50/1,158.20
  6. Step 6: Final answer
    x = 989.27

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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.