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Finding the Fourth Proportional to 497.58, 749.12 and 440.12

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Solution

The fourth proportional to 497.58, 749.12 and 440.12 is: 662.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.58 : 749.12 = 440.12 : x
  2. Step 2: Convert to fraction form
    497.58/749.12 = 440.12/x
  3. Step 3: Cross multiply
    497.58x = 749.12 × 440.12
  4. Step 4: Simplify right side
    497.58x = 329,702.69
  5. Step 5: Solve for x
    x = 329,702.69/497.58
  6. Step 6: Final answer
    x = 662.61

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.