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Finding the Fourth Proportional to 875.40, 1,311.67 and 441.64

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Solution

The fourth proportional to 875.40, 1,311.67 and 441.64 is: 661.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.40 : 1,311.67 = 441.64 : x
  2. Step 2: Convert to fraction form
    875.40/1,311.67 = 441.64/x
  3. Step 3: Cross multiply
    875.40x = 1,311.67 × 441.64
  4. Step 4: Simplify right side
    875.40x = 579,285.94
  5. Step 5: Solve for x
    x = 579,285.94/875.40
  6. Step 6: Final answer
    x = 661.74

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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.