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Finding the Fourth Proportional to 960.68, 1,325.46 and 587.27

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Solution

The fourth proportional to 960.68, 1,325.46 and 587.27 is: 810.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.68 : 1,325.46 = 587.27 : x
  2. Step 2: Convert to fraction form
    960.68/1,325.46 = 587.27/x
  3. Step 3: Cross multiply
    960.68x = 1,325.46 × 587.27
  4. Step 4: Simplify right side
    960.68x = 778,402.07
  5. Step 5: Solve for x
    x = 778,402.07/960.68
  6. Step 6: Final answer
    x = 810.26

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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.