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Finding the Fourth Proportional to 839.56, 1,261.28 and 493.12

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Solution

The fourth proportional to 839.56, 1,261.28 and 493.12 is: 740.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.56 : 1,261.28 = 493.12 : x
  2. Step 2: Convert to fraction form
    839.56/1,261.28 = 493.12/x
  3. Step 3: Cross multiply
    839.56x = 1,261.28 × 493.12
  4. Step 4: Simplify right side
    839.56x = 621,962.39
  5. Step 5: Solve for x
    x = 621,962.39/839.56
  6. Step 6: Final answer
    x = 740.82

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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.