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Finding the Fourth Proportional to 876.56, 1,319.50 and 797.20

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Solution

The fourth proportional to 876.56, 1,319.50 and 797.20 is: 1,200.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.56 : 1,319.50 = 797.20 : x
  2. Step 2: Convert to fraction form
    876.56/1,319.50 = 797.20/x
  3. Step 3: Cross multiply
    876.56x = 1,319.50 × 797.20
  4. Step 4: Simplify right side
    876.56x = 1,051,905.40
  5. Step 5: Solve for x
    x = 1,051,905.40/876.56
  6. Step 6: Final answer
    x = 1,200.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.