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Finding the Fourth Proportional to 960.41, 1,325.42 and 587.29

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Solution

The fourth proportional to 960.41, 1,325.42 and 587.29 is: 810.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.41 : 1,325.42 = 587.29 : x
  2. Step 2: Convert to fraction form
    960.41/1,325.42 = 587.29/x
  3. Step 3: Cross multiply
    960.41x = 1,325.42 × 587.29
  4. Step 4: Simplify right side
    960.41x = 778,405.91
  5. Step 5: Solve for x
    x = 778,405.91/960.41
  6. Step 6: Final answer
    x = 810.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.