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Finding the Fourth Proportional to 684.74, 943.97 and 566.21

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Solution

The fourth proportional to 684.74, 943.97 and 566.21 is: 780.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.74 : 943.97 = 566.21 : x
  2. Step 2: Convert to fraction form
    684.74/943.97 = 566.21/x
  3. Step 3: Cross multiply
    684.74x = 943.97 × 566.21
  4. Step 4: Simplify right side
    684.74x = 534,477.70
  5. Step 5: Solve for x
    x = 534,477.70/684.74
  6. Step 6: Final answer
    x = 780.56

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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.