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Finding the Fourth Proportional to 753.23, 1,128.87 and 655.31

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Solution

The fourth proportional to 753.23, 1,128.87 and 655.31 is: 982.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.23 : 1,128.87 = 655.31 : x
  2. Step 2: Convert to fraction form
    753.23/1,128.87 = 655.31/x
  3. Step 3: Cross multiply
    753.23x = 1,128.87 × 655.31
  4. Step 4: Simplify right side
    753.23x = 739,762.62
  5. Step 5: Solve for x
    x = 739,762.62/753.23
  6. Step 6: Final answer
    x = 982.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.