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Finding the Fourth Proportional to 897.80, 1,242.42 and 876.20

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Solution

The fourth proportional to 897.80, 1,242.42 and 876.20 is: 1,212.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.80 : 1,242.42 = 876.20 : x
  2. Step 2: Convert to fraction form
    897.80/1,242.42 = 876.20/x
  3. Step 3: Cross multiply
    897.80x = 1,242.42 × 876.20
  4. Step 4: Simplify right side
    897.80x = 1,088,608.40
  5. Step 5: Solve for x
    x = 1,088,608.40/897.80
  6. Step 6: Final answer
    x = 1,212.53

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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.