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Finding the Fourth Proportional to 1,226.16, 1,839.08 and 542

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Solution

The fourth proportional to 1,226.16, 1,839.08 and 542 is: 812.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.16 : 1,839.08 = 542 : x
  2. Step 2: Convert to fraction form
    1,226.16/1,839.08 = 542/x
  3. Step 3: Cross multiply
    1,226.16x = 1,839.08 × 542
  4. Step 4: Simplify right side
    1,226.16x = 996,781.36
  5. Step 5: Solve for x
    x = 996,781.36/1,226.16
  6. Step 6: Final answer
    x = 812.93

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