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Finding the Fourth Proportional to 1,158.24, 1,737.48 and 388.76

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Solution

The fourth proportional to 1,158.24, 1,737.48 and 388.76 is: 583.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.24 : 1,737.48 = 388.76 : x
  2. Step 2: Convert to fraction form
    1,158.24/1,737.48 = 388.76/x
  3. Step 3: Cross multiply
    1,158.24x = 1,737.48 × 388.76
  4. Step 4: Simplify right side
    1,158.24x = 675,462.72
  5. Step 5: Solve for x
    x = 675,462.72/1,158.24
  6. Step 6: Final answer
    x = 583.18

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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.