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Finding the Fourth Proportional to 1,158.36, 1,737.31 and 542.35

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Solution

The fourth proportional to 1,158.36, 1,737.31 and 542.35 is: 813.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.36 : 1,737.31 = 542.35 : x
  2. Step 2: Convert to fraction form
    1,158.36/1,737.31 = 542.35/x
  3. Step 3: Cross multiply
    1,158.36x = 1,737.31 × 542.35
  4. Step 4: Simplify right side
    1,158.36x = 942,230.08
  5. Step 5: Solve for x
    x = 942,230.08/1,158.36
  6. Step 6: Final answer
    x = 813.42

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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.