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Finding the Fourth Proportional to 875.88, 1,311.12 and 567.07

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Solution

The fourth proportional to 875.88, 1,311.12 and 567.07 is: 848.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.88 : 1,311.12 = 567.07 : x
  2. Step 2: Convert to fraction form
    875.88/1,311.12 = 567.07/x
  3. Step 3: Cross multiply
    875.88x = 1,311.12 × 567.07
  4. Step 4: Simplify right side
    875.88x = 743,493.54
  5. Step 5: Solve for x
    x = 743,493.54/875.88
  6. Step 6: Final answer
    x = 848.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.