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Finding the Fourth Proportional to 960.52, 1,325.23 and 587.56

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Solution

The fourth proportional to 960.52, 1,325.23 and 587.56 is: 810.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.52 : 1,325.23 = 587.56 : x
  2. Step 2: Convert to fraction form
    960.52/1,325.23 = 587.56/x
  3. Step 3: Cross multiply
    960.52x = 1,325.23 × 587.56
  4. Step 4: Simplify right side
    960.52x = 778,652.14
  5. Step 5: Solve for x
    x = 778,652.14/960.52
  6. Step 6: Final answer
    x = 810.66

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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.