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Finding the Fourth Proportional to 872.57, 1,203.84 and 578.15

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Solution

The fourth proportional to 872.57, 1,203.84 and 578.15 is: 797.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.57 : 1,203.84 = 578.15 : x
  2. Step 2: Convert to fraction form
    872.57/1,203.84 = 578.15/x
  3. Step 3: Cross multiply
    872.57x = 1,203.84 × 578.15
  4. Step 4: Simplify right side
    872.57x = 696,000.10
  5. Step 5: Solve for x
    x = 696,000.10/872.57
  6. Step 6: Final answer
    x = 797.64

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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.