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Finding the Fourth Proportional to 886.41, 1,223.17 and 493.36

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Solution

The fourth proportional to 886.41, 1,223.17 and 493.36 is: 680.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.41 : 1,223.17 = 493.36 : x
  2. Step 2: Convert to fraction form
    886.41/1,223.17 = 493.36/x
  3. Step 3: Cross multiply
    886.41x = 1,223.17 × 493.36
  4. Step 4: Simplify right side
    886.41x = 603,458.86
  5. Step 5: Solve for x
    x = 603,458.86/886.41
  6. Step 6: Final answer
    x = 680.79

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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.