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Finding the Fourth Proportional to 880.50, 1,214.97 and 748.26

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Solution

The fourth proportional to 880.50, 1,214.97 and 748.26 is: 1,032.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.50 : 1,214.97 = 748.26 : x
  2. Step 2: Convert to fraction form
    880.50/1,214.97 = 748.26/x
  3. Step 3: Cross multiply
    880.50x = 1,214.97 × 748.26
  4. Step 4: Simplify right side
    880.50x = 909,113.45
  5. Step 5: Solve for x
    x = 909,113.45/880.50
  6. Step 6: Final answer
    x = 1,032.50

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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.