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Finding the Fourth Proportional to 839.14, 1,259.38 and 474.28

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Solution

The fourth proportional to 839.14, 1,259.38 and 474.28 is: 711.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.14 : 1,259.38 = 474.28 : x
  2. Step 2: Convert to fraction form
    839.14/1,259.38 = 474.28/x
  3. Step 3: Cross multiply
    839.14x = 1,259.38 × 474.28
  4. Step 4: Simplify right side
    839.14x = 597,298.75
  5. Step 5: Solve for x
    x = 597,298.75/839.14
  6. Step 6: Final answer
    x = 711.80

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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.