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Finding the Fourth Proportional to 960.15, 1,437.12 and 497.29

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Solution

The fourth proportional to 960.15, 1,437.12 and 497.29 is: 744.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.15 : 1,437.12 = 497.29 : x
  2. Step 2: Convert to fraction form
    960.15/1,437.12 = 497.29/x
  3. Step 3: Cross multiply
    960.15x = 1,437.12 × 497.29
  4. Step 4: Simplify right side
    960.15x = 714,665.40
  5. Step 5: Solve for x
    x = 714,665.40/960.15
  6. Step 6: Final answer
    x = 744.33

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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.