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Finding the Fourth Proportional to 507.68, 761.52 and 191.12

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Solution

The fourth proportional to 507.68, 761.52 and 191.12 is: 286.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.68 : 761.52 = 191.12 : x
  2. Step 2: Convert to fraction form
    507.68/761.52 = 191.12/x
  3. Step 3: Cross multiply
    507.68x = 761.52 × 191.12
  4. Step 4: Simplify right side
    507.68x = 145,543.84
  5. Step 5: Solve for x
    x = 145,543.84/507.68
  6. Step 6: Final answer
    x = 286.69

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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.