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Finding the Fourth Proportional to 886.40, 1,222.50 and 536.78

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Solution

The fourth proportional to 886.40, 1,222.50 and 536.78 is: 740.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.40 : 1,222.50 = 536.78 : x
  2. Step 2: Convert to fraction form
    886.40/1,222.50 = 536.78/x
  3. Step 3: Cross multiply
    886.40x = 1,222.50 × 536.78
  4. Step 4: Simplify right side
    886.40x = 656,213.55
  5. Step 5: Solve for x
    x = 656,213.55/886.40
  6. Step 6: Final answer
    x = 740.31

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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.