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Finding the Fourth Proportional to 766.50, 1,149.95 and 304.13

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Solution

The fourth proportional to 766.50, 1,149.95 and 304.13 is: 456.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.50 : 1,149.95 = 304.13 : x
  2. Step 2: Convert to fraction form
    766.50/1,149.95 = 304.13/x
  3. Step 3: Cross multiply
    766.50x = 1,149.95 × 304.13
  4. Step 4: Simplify right side
    766.50x = 349,733.22
  5. Step 5: Solve for x
    x = 349,733.22/766.50
  6. Step 6: Final answer
    x = 456.27

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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.