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Finding the Fourth Proportional to 778.42, 1,073.18 and 556.99

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Solution

The fourth proportional to 778.42, 1,073.18 and 556.99 is: 767.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.42 : 1,073.18 = 556.99 : x
  2. Step 2: Convert to fraction form
    778.42/1,073.18 = 556.99/x
  3. Step 3: Cross multiply
    778.42x = 1,073.18 × 556.99
  4. Step 4: Simplify right side
    778.42x = 597,749.24
  5. Step 5: Solve for x
    x = 597,749.24/778.42
  6. Step 6: Final answer
    x = 767.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.