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Finding the Fourth Proportional to 841.49, 1,259.49 and 724.85

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Solution

The fourth proportional to 841.49, 1,259.49 and 724.85 is: 1,084.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.49 : 1,259.49 = 724.85 : x
  2. Step 2: Convert to fraction form
    841.49/1,259.49 = 724.85/x
  3. Step 3: Cross multiply
    841.49x = 1,259.49 × 724.85
  4. Step 4: Simplify right side
    841.49x = 912,935.03
  5. Step 5: Solve for x
    x = 912,935.03/841.49
  6. Step 6: Final answer
    x = 1,084.91

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1.5x scale

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.