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Finding the Fourth Proportional to 904.10, 1,247.66 and 490.10

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Solution

The fourth proportional to 904.10, 1,247.66 and 490.10 is: 676.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.10 : 1,247.66 = 490.10 : x
  2. Step 2: Convert to fraction form
    904.10/1,247.66 = 490.10/x
  3. Step 3: Cross multiply
    904.10x = 1,247.66 × 490.10
  4. Step 4: Simplify right side
    904.10x = 611,469.48
  5. Step 5: Solve for x
    x = 611,469.48/904.10
  6. Step 6: Final answer
    x = 676.33

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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.