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Finding the Fourth Proportional to 766.32, 1,056.96 and 740.92

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Solution

The fourth proportional to 766.32, 1,056.96 and 740.92 is: 1,021.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.32 : 1,056.96 = 740.92 : x
  2. Step 2: Convert to fraction form
    766.32/1,056.96 = 740.92/x
  3. Step 3: Cross multiply
    766.32x = 1,056.96 × 740.92
  4. Step 4: Simplify right side
    766.32x = 783,122.80
  5. Step 5: Solve for x
    x = 783,122.80/766.32
  6. Step 6: Final answer
    x = 1,021.93

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.