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Finding the Fourth Proportional to 557.64, 772.74 and 550.68

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Solution

The fourth proportional to 557.64, 772.74 and 550.68 is: 763.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.64 : 772.74 = 550.68 : x
  2. Step 2: Convert to fraction form
    557.64/772.74 = 550.68/x
  3. Step 3: Cross multiply
    557.64x = 772.74 × 550.68
  4. Step 4: Simplify right side
    557.64x = 425,532.46
  5. Step 5: Solve for x
    x = 425,532.46/557.64
  6. Step 6: Final answer
    x = 763.10

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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.