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Finding the Fourth Proportional to 766.01, 1,148.94 and 253.01

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Solution

The fourth proportional to 766.01, 1,148.94 and 253.01 is: 379.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.01 : 1,148.94 = 253.01 : x
  2. Step 2: Convert to fraction form
    766.01/1,148.94 = 253.01/x
  3. Step 3: Cross multiply
    766.01x = 1,148.94 × 253.01
  4. Step 4: Simplify right side
    766.01x = 290,687.56
  5. Step 5: Solve for x
    x = 290,687.56/766.01
  6. Step 6: Final answer
    x = 379.49

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Half scale
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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.