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Finding the Fourth Proportional to 738.89, 1,020.20 and 490.73

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Solution

The fourth proportional to 738.89, 1,020.20 and 490.73 is: 677.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.89 : 1,020.20 = 490.73 : x
  2. Step 2: Convert to fraction form
    738.89/1,020.20 = 490.73/x
  3. Step 3: Cross multiply
    738.89x = 1,020.20 × 490.73
  4. Step 4: Simplify right side
    738.89x = 500,640.93
  5. Step 5: Solve for x
    x = 500,640.93/738.89
  6. Step 6: Final answer
    x = 677.55

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Half scale
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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.