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Finding the Fourth Proportional to 1,157.38, 1,734.63 and 580.42

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Solution

The fourth proportional to 1,157.38, 1,734.63 and 580.42 is: 869.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.38 : 1,734.63 = 580.42 : x
  2. Step 2: Convert to fraction form
    1,157.38/1,734.63 = 580.42/x
  3. Step 3: Cross multiply
    1,157.38x = 1,734.63 × 580.42
  4. Step 4: Simplify right side
    1,157.38x = 1,006,813.94
  5. Step 5: Solve for x
    x = 1,006,813.94/1,157.38
  6. Step 6: Final answer
    x = 869.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.