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Finding the Fourth Proportional to 809.52, 1,215.15 and 648.19

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Solution

The fourth proportional to 809.52, 1,215.15 and 648.19 is: 972.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.52 : 1,215.15 = 648.19 : x
  2. Step 2: Convert to fraction form
    809.52/1,215.15 = 648.19/x
  3. Step 3: Cross multiply
    809.52x = 1,215.15 × 648.19
  4. Step 4: Simplify right side
    809.52x = 787,648.08
  5. Step 5: Solve for x
    x = 787,648.08/809.52
  6. Step 6: Final answer
    x = 972.98

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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.