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Finding the Fourth Proportional to 1,158.38, 1,598.66 and 661.04

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Solution

The fourth proportional to 1,158.38, 1,598.66 and 661.04 is: 912.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.38 : 1,598.66 = 661.04 : x
  2. Step 2: Convert to fraction form
    1,158.38/1,598.66 = 661.04/x
  3. Step 3: Cross multiply
    1,158.38x = 1,598.66 × 661.04
  4. Step 4: Simplify right side
    1,158.38x = 1,056,778.21
  5. Step 5: Solve for x
    x = 1,056,778.21/1,158.38
  6. Step 6: Final answer
    x = 912.29

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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.