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Finding the Fourth Proportional to 959.62, 1,438.41 and 496.93

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Solution

The fourth proportional to 959.62, 1,438.41 and 496.93 is: 744.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.62 : 1,438.41 = 496.93 : x
  2. Step 2: Convert to fraction form
    959.62/1,438.41 = 496.93/x
  3. Step 3: Cross multiply
    959.62x = 1,438.41 × 496.93
  4. Step 4: Simplify right side
    959.62x = 714,789.08
  5. Step 5: Solve for x
    x = 714,789.08/959.62
  6. Step 6: Final answer
    x = 744.87

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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.