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Finding the Fourth Proportional to 967.90, 1,449.72 and 601.91

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Solution

The fourth proportional to 967.90, 1,449.72 and 601.91 is: 901.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.90 : 1,449.72 = 601.91 : x
  2. Step 2: Convert to fraction form
    967.90/1,449.72 = 601.91/x
  3. Step 3: Cross multiply
    967.90x = 1,449.72 × 601.91
  4. Step 4: Simplify right side
    967.90x = 872,604.59
  5. Step 5: Solve for x
    x = 872,604.59/967.90
  6. Step 6: Final answer
    x = 901.55

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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.