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Finding the Fourth Proportional to 510.95, 766.49 and 145.78

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Solution

The fourth proportional to 510.95, 766.49 and 145.78 is: 218.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.95 : 766.49 = 145.78 : x
  2. Step 2: Convert to fraction form
    510.95/766.49 = 145.78/x
  3. Step 3: Cross multiply
    510.95x = 766.49 × 145.78
  4. Step 4: Simplify right side
    510.95x = 111,738.91
  5. Step 5: Solve for x
    x = 111,738.91/510.95
  6. Step 6: Final answer
    x = 218.69

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Double scale
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Similar ratio
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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.