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Finding the Fourth Proportional to 875.34, 1,311.85 and 485.52

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Solution

The fourth proportional to 875.34, 1,311.85 and 485.52 is: 727.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.34 : 1,311.85 = 485.52 : x
  2. Step 2: Convert to fraction form
    875.34/1,311.85 = 485.52/x
  3. Step 3: Cross multiply
    875.34x = 1,311.85 × 485.52
  4. Step 4: Simplify right side
    875.34x = 636,928.20
  5. Step 5: Solve for x
    x = 636,928.20/875.34
  6. Step 6: Final answer
    x = 727.64

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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.