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Finding the Fourth Proportional to 984.83, 1,359.08 and 542.75

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Solution

The fourth proportional to 984.83, 1,359.08 and 542.75 is: 749.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.83 : 1,359.08 = 542.75 : x
  2. Step 2: Convert to fraction form
    984.83/1,359.08 = 542.75/x
  3. Step 3: Cross multiply
    984.83x = 1,359.08 × 542.75
  4. Step 4: Simplify right side
    984.83x = 737,631.16
  5. Step 5: Solve for x
    x = 737,631.16/984.83
  6. Step 6: Final answer
    x = 749.00

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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.