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Finding the Fourth Proportional to 886.38, 1,223.16 and 493.40

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Solution

The fourth proportional to 886.38, 1,223.16 and 493.40 is: 680.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.38 : 1,223.16 = 493.40 : x
  2. Step 2: Convert to fraction form
    886.38/1,223.16 = 493.40/x
  3. Step 3: Cross multiply
    886.38x = 1,223.16 × 493.40
  4. Step 4: Simplify right side
    886.38x = 603,507.14
  5. Step 5: Solve for x
    x = 603,507.14/886.38
  6. Step 6: Final answer
    x = 680.87

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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.