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Finding the Fourth Proportional to 759.24, 1,047.76 and 464.48

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Solution

The fourth proportional to 759.24, 1,047.76 and 464.48 is: 640.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.24 : 1,047.76 = 464.48 : x
  2. Step 2: Convert to fraction form
    759.24/1,047.76 = 464.48/x
  3. Step 3: Cross multiply
    759.24x = 1,047.76 × 464.48
  4. Step 4: Simplify right side
    759.24x = 486,663.56
  5. Step 5: Solve for x
    x = 486,663.56/759.24
  6. Step 6: Final answer
    x = 640.99

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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.