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Finding the Fourth Proportional to 960.50, 1,325.62 and 535.18

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Solution

The fourth proportional to 960.50, 1,325.62 and 535.18 is: 738.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.50 : 1,325.62 = 535.18 : x
  2. Step 2: Convert to fraction form
    960.50/1,325.62 = 535.18/x
  3. Step 3: Cross multiply
    960.50x = 1,325.62 × 535.18
  4. Step 4: Simplify right side
    960.50x = 709,445.31
  5. Step 5: Solve for x
    x = 709,445.31/960.50
  6. Step 6: Final answer
    x = 738.62

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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.