Home / 1,158.24-1,594.26-989.10

Finding the Fourth Proportional to 1,158.24, 1,594.26 and 989.10

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Solution

The fourth proportional to 1,158.24, 1,594.26 and 989.10 is: 1,361.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.24 : 1,594.26 = 989.10 : x
  2. Step 2: Convert to fraction form
    1,158.24/1,594.26 = 989.10/x
  3. Step 3: Cross multiply
    1,158.24x = 1,594.26 × 989.10
  4. Step 4: Simplify right side
    1,158.24x = 1,576,882.57
  5. Step 5: Solve for x
    x = 1,576,882.57/1,158.24
  6. Step 6: Final answer
    x = 1,361.45

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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.