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Finding the Fourth Proportional to 883.75, 1,219.62 and 750.55

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Solution

The fourth proportional to 883.75, 1,219.62 and 750.55 is: 1,035.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.75 : 1,219.62 = 750.55 : x
  2. Step 2: Convert to fraction form
    883.75/1,219.62 = 750.55/x
  3. Step 3: Cross multiply
    883.75x = 1,219.62 × 750.55
  4. Step 4: Simplify right side
    883.75x = 915,385.79
  5. Step 5: Solve for x
    x = 915,385.79/883.75
  6. Step 6: Final answer
    x = 1,035.80

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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.