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Finding the Fourth Proportional to 839.31, 1,259.20 and 492.02

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Solution

The fourth proportional to 839.31, 1,259.20 and 492.02 is: 738.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.31 : 1,259.20 = 492.02 : x
  2. Step 2: Convert to fraction form
    839.31/1,259.20 = 492.02/x
  3. Step 3: Cross multiply
    839.31x = 1,259.20 × 492.02
  4. Step 4: Simplify right side
    839.31x = 619,554.94
  5. Step 5: Solve for x
    x = 619,554.94/839.31
  6. Step 6: Final answer
    x = 738.17

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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.