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Finding the Fourth Proportional to 777.80, 1,073.34 and 423.72

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Solution

The fourth proportional to 777.80, 1,073.34 and 423.72 is: 584.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.80 : 1,073.34 = 423.72 : x
  2. Step 2: Convert to fraction form
    777.80/1,073.34 = 423.72/x
  3. Step 3: Cross multiply
    777.80x = 1,073.34 × 423.72
  4. Step 4: Simplify right side
    777.80x = 454,795.62
  5. Step 5: Solve for x
    x = 454,795.62/777.80
  6. Step 6: Final answer
    x = 584.72

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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.