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Finding the Fourth Proportional to 875.80, 1,311.27 and 442.05

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Solution

The fourth proportional to 875.80, 1,311.27 and 442.05 is: 661.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.80 : 1,311.27 = 442.05 : x
  2. Step 2: Convert to fraction form
    875.80/1,311.27 = 442.05/x
  3. Step 3: Cross multiply
    875.80x = 1,311.27 × 442.05
  4. Step 4: Simplify right side
    875.80x = 579,646.90
  5. Step 5: Solve for x
    x = 579,646.90/875.80
  6. Step 6: Final answer
    x = 661.85

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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.