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Finding the Fourth Proportional to 777.80, 1,073.72 and 553.88

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Solution

The fourth proportional to 777.80, 1,073.72 and 553.88 is: 764.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.80 : 1,073.72 = 553.88 : x
  2. Step 2: Convert to fraction form
    777.80/1,073.72 = 553.88/x
  3. Step 3: Cross multiply
    777.80x = 1,073.72 × 553.88
  4. Step 4: Simplify right side
    777.80x = 594,712.03
  5. Step 5: Solve for x
    x = 594,712.03/777.80
  6. Step 6: Final answer
    x = 764.61

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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.