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Finding the Fourth Proportional to 759.03, 1,047.33 and 478.78

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Solution

The fourth proportional to 759.03, 1,047.33 and 478.78 is: 660.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.03 : 1,047.33 = 478.78 : x
  2. Step 2: Convert to fraction form
    759.03/1,047.33 = 478.78/x
  3. Step 3: Cross multiply
    759.03x = 1,047.33 × 478.78
  4. Step 4: Simplify right side
    759.03x = 501,440.66
  5. Step 5: Solve for x
    x = 501,440.66/759.03
  6. Step 6: Final answer
    x = 660.63

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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.