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Finding the Fourth Proportional to 841.68, 1,263.34 and 409.14

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Solution

The fourth proportional to 841.68, 1,263.34 and 409.14 is: 614.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.68 : 1,263.34 = 409.14 : x
  2. Step 2: Convert to fraction form
    841.68/1,263.34 = 409.14/x
  3. Step 3: Cross multiply
    841.68x = 1,263.34 × 409.14
  4. Step 4: Simplify right side
    841.68x = 516,882.93
  5. Step 5: Solve for x
    x = 516,882.93/841.68
  6. Step 6: Final answer
    x = 614.11

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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.