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Finding the Fourth Proportional to 839.32, 1,258.70 and 491.88

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Solution

The fourth proportional to 839.32, 1,258.70 and 491.88 is: 737.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.32 : 1,258.70 = 491.88 : x
  2. Step 2: Convert to fraction form
    839.32/1,258.70 = 491.88/x
  3. Step 3: Cross multiply
    839.32x = 1,258.70 × 491.88
  4. Step 4: Simplify right side
    839.32x = 619,129.36
  5. Step 5: Solve for x
    x = 619,129.36/839.32
  6. Step 6: Final answer
    x = 737.66

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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.