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Finding the Fourth Proportional to 960.47, 1,325.48 and 540.80

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Solution

The fourth proportional to 960.47, 1,325.48 and 540.80 is: 746.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.47 : 1,325.48 = 540.80 : x
  2. Step 2: Convert to fraction form
    960.47/1,325.48 = 540.80/x
  3. Step 3: Cross multiply
    960.47x = 1,325.48 × 540.80
  4. Step 4: Simplify right side
    960.47x = 716,810.25
  5. Step 5: Solve for x
    x = 716,810.25/960.47
  6. Step 6: Final answer
    x = 746.32

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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.