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Finding the Fourth Proportional to 777.87, 1,073.05 and 462.91

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Solution

The fourth proportional to 777.87, 1,073.05 and 462.91 is: 638.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.87 : 1,073.05 = 462.91 : x
  2. Step 2: Convert to fraction form
    777.87/1,073.05 = 462.91/x
  3. Step 3: Cross multiply
    777.87x = 1,073.05 × 462.91
  4. Step 4: Simplify right side
    777.87x = 496,725.05
  5. Step 5: Solve for x
    x = 496,725.05/777.87
  6. Step 6: Final answer
    x = 638.57

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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.