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Finding the Fourth Proportional to 904.49, 1,248.20 and 490.49

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Solution

The fourth proportional to 904.49, 1,248.20 and 490.49 is: 676.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.49 : 1,248.20 = 490.49 : x
  2. Step 2: Convert to fraction form
    904.49/1,248.20 = 490.49/x
  3. Step 3: Cross multiply
    904.49x = 1,248.20 × 490.49
  4. Step 4: Simplify right side
    904.49x = 612,229.62
  5. Step 5: Solve for x
    x = 612,229.62/904.49
  6. Step 6: Final answer
    x = 676.88

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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.