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Finding the Fourth Proportional to 731.80, 1,010.30 and 483.84

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Solution

The fourth proportional to 731.80, 1,010.30 and 483.84 is: 667.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.80 : 1,010.30 = 483.84 : x
  2. Step 2: Convert to fraction form
    731.80/1,010.30 = 483.84/x
  3. Step 3: Cross multiply
    731.80x = 1,010.30 × 483.84
  4. Step 4: Simplify right side
    731.80x = 488,818.23
  5. Step 5: Solve for x
    x = 488,818.23/731.80
  6. Step 6: Final answer
    x = 667.97

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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.