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Finding the Fourth Proportional to 872.69, 1,309.46 and 410.45

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Solution

The fourth proportional to 872.69, 1,309.46 and 410.45 is: 615.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.69 : 1,309.46 = 410.45 : x
  2. Step 2: Convert to fraction form
    872.69/1,309.46 = 410.45/x
  3. Step 3: Cross multiply
    872.69x = 1,309.46 × 410.45
  4. Step 4: Simplify right side
    872.69x = 537,459.26
  5. Step 5: Solve for x
    x = 537,459.26/872.69
  6. Step 6: Final answer
    x = 615.87

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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.