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Finding the Fourth Proportional to 960.20, 1,438.47 and 497.28

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Solution

The fourth proportional to 960.20, 1,438.47 and 497.28 is: 744.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.20 : 1,438.47 = 497.28 : x
  2. Step 2: Convert to fraction form
    960.20/1,438.47 = 497.28/x
  3. Step 3: Cross multiply
    960.20x = 1,438.47 × 497.28
  4. Step 4: Simplify right side
    960.20x = 715,322.36
  5. Step 5: Solve for x
    x = 715,322.36/960.20
  6. Step 6: Final answer
    x = 744.98

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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.