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Finding the Fourth Proportional to 842.50, 1,263.80 and 409.66

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Solution

The fourth proportional to 842.50, 1,263.80 and 409.66 is: 614.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.50 : 1,263.80 = 409.66 : x
  2. Step 2: Convert to fraction form
    842.50/1,263.80 = 409.66/x
  3. Step 3: Cross multiply
    842.50x = 1,263.80 × 409.66
  4. Step 4: Simplify right side
    842.50x = 517,726.17
  5. Step 5: Solve for x
    x = 517,726.17/842.50
  6. Step 6: Final answer
    x = 614.51

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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.