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Finding the Fourth Proportional to 886.72, 1,223.70 and 493.78

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Solution

The fourth proportional to 886.72, 1,223.70 and 493.78 is: 681.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.72 : 1,223.70 = 493.78 : x
  2. Step 2: Convert to fraction form
    886.72/1,223.70 = 493.78/x
  3. Step 3: Cross multiply
    886.72x = 1,223.70 × 493.78
  4. Step 4: Simplify right side
    886.72x = 604,238.59
  5. Step 5: Solve for x
    x = 604,238.59/886.72
  6. Step 6: Final answer
    x = 681.43

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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.