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Finding the Fourth Proportional to 765.49, 1,148.22 and 217.66

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Solution

The fourth proportional to 765.49, 1,148.22 and 217.66 is: 326.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.49 : 1,148.22 = 217.66 : x
  2. Step 2: Convert to fraction form
    765.49/1,148.22 = 217.66/x
  3. Step 3: Cross multiply
    765.49x = 1,148.22 × 217.66
  4. Step 4: Simplify right side
    765.49x = 249,921.57
  5. Step 5: Solve for x
    x = 249,921.57/765.49
  6. Step 6: Final answer
    x = 326.49

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Double scale
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1.5x scale

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.