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Finding the Fourth Proportional to 839.53, 1,158.78 and 544.78

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Solution

The fourth proportional to 839.53, 1,158.78 and 544.78 is: 751.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.53 : 1,158.78 = 544.78 : x
  2. Step 2: Convert to fraction form
    839.53/1,158.78 = 544.78/x
  3. Step 3: Cross multiply
    839.53x = 1,158.78 × 544.78
  4. Step 4: Simplify right side
    839.53x = 631,280.17
  5. Step 5: Solve for x
    x = 631,280.17/839.53
  6. Step 6: Final answer
    x = 751.94

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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.