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Finding the Fourth Proportional to 759.20, 1,047.68 and 423.12

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Solution

The fourth proportional to 759.20, 1,047.68 and 423.12 is: 583.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.20 : 1,047.68 = 423.12 : x
  2. Step 2: Convert to fraction form
    759.20/1,047.68 = 423.12/x
  3. Step 3: Cross multiply
    759.20x = 1,047.68 × 423.12
  4. Step 4: Simplify right side
    759.20x = 443,300.14
  5. Step 5: Solve for x
    x = 443,300.14/759.20
  6. Step 6: Final answer
    x = 583.91

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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.