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Finding the Fourth Proportional to 684.41, 943.92 and 571.95

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Solution

The fourth proportional to 684.41, 943.92 and 571.95 is: 788.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.41 : 943.92 = 571.95 : x
  2. Step 2: Convert to fraction form
    684.41/943.92 = 571.95/x
  3. Step 3: Cross multiply
    684.41x = 943.92 × 571.95
  4. Step 4: Simplify right side
    684.41x = 539,875.04
  5. Step 5: Solve for x
    x = 539,875.04/684.41
  6. Step 6: Final answer
    x = 788.82

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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.