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Finding the Fourth Proportional to 684.86, 945.61 and 537.23

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Solution

The fourth proportional to 684.86, 945.61 and 537.23 is: 741.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.86 : 945.61 = 537.23 : x
  2. Step 2: Convert to fraction form
    684.86/945.61 = 537.23/x
  3. Step 3: Cross multiply
    684.86x = 945.61 × 537.23
  4. Step 4: Simplify right side
    684.86x = 508,011.08
  5. Step 5: Solve for x
    x = 508,011.08/684.86
  6. Step 6: Final answer
    x = 741.78

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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.