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Finding the Fourth Proportional to 881.93, 1,214.28 and 748.89

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Solution

The fourth proportional to 881.93, 1,214.28 and 748.89 is: 1,031.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.93 : 1,214.28 = 748.89 : x
  2. Step 2: Convert to fraction form
    881.93/1,214.28 = 748.89/x
  3. Step 3: Cross multiply
    881.93x = 1,214.28 × 748.89
  4. Step 4: Simplify right side
    881.93x = 909,357.95
  5. Step 5: Solve for x
    x = 909,357.95/881.93
  6. Step 6: Final answer
    x = 1,031.10

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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.