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Finding the Fourth Proportional to 557.16, 772.75 and 550.68

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Solution

The fourth proportional to 557.16, 772.75 and 550.68 is: 763.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.16 : 772.75 = 550.68 : x
  2. Step 2: Convert to fraction form
    557.16/772.75 = 550.68/x
  3. Step 3: Cross multiply
    557.16x = 772.75 × 550.68
  4. Step 4: Simplify right side
    557.16x = 425,537.97
  5. Step 5: Solve for x
    x = 425,537.97/557.16
  6. Step 6: Final answer
    x = 763.76

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.