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Finding the Fourth Proportional to 675.71, 1,012.05 and 411.45

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Solution

The fourth proportional to 675.71, 1,012.05 and 411.45 is: 616.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.71 : 1,012.05 = 411.45 : x
  2. Step 2: Convert to fraction form
    675.71/1,012.05 = 411.45/x
  3. Step 3: Cross multiply
    675.71x = 1,012.05 × 411.45
  4. Step 4: Simplify right side
    675.71x = 416,407.97
  5. Step 5: Solve for x
    x = 416,407.97/675.71
  6. Step 6: Final answer
    x = 616.25

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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.