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Finding the Fourth Proportional to 886.60, 1,223.45 and 493.59

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Solution

The fourth proportional to 886.60, 1,223.45 and 493.59 is: 681.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.60 : 1,223.45 = 493.59 : x
  2. Step 2: Convert to fraction form
    886.60/1,223.45 = 493.59/x
  3. Step 3: Cross multiply
    886.60x = 1,223.45 × 493.59
  4. Step 4: Simplify right side
    886.60x = 603,889.43
  5. Step 5: Solve for x
    x = 603,889.43/886.60
  6. Step 6: Final answer
    x = 681.13

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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.