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Finding the Fourth Proportional to 841.28, 1,259.76 and 711.68

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Solution

The fourth proportional to 841.28, 1,259.76 and 711.68 is: 1,065.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.28 : 1,259.76 = 711.68 : x
  2. Step 2: Convert to fraction form
    841.28/1,259.76 = 711.68/x
  3. Step 3: Cross multiply
    841.28x = 1,259.76 × 711.68
  4. Step 4: Simplify right side
    841.28x = 896,546.00
  5. Step 5: Solve for x
    x = 896,546.00/841.28
  6. Step 6: Final answer
    x = 1,065.69

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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.