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Finding the Fourth Proportional to 753.42, 1,130.09 and 441.25

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Solution

The fourth proportional to 753.42, 1,130.09 and 441.25 is: 661.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.42 : 1,130.09 = 441.25 : x
  2. Step 2: Convert to fraction form
    753.42/1,130.09 = 441.25/x
  3. Step 3: Cross multiply
    753.42x = 1,130.09 × 441.25
  4. Step 4: Simplify right side
    753.42x = 498,650.49
  5. Step 5: Solve for x
    x = 498,650.49/753.42
  6. Step 6: Final answer
    x = 661.85

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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.