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Finding the Fourth Proportional to 684.65, 945.12 and 527.23

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Solution

The fourth proportional to 684.65, 945.12 and 527.23 is: 727.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.65 : 945.12 = 527.23 : x
  2. Step 2: Convert to fraction form
    684.65/945.12 = 527.23/x
  3. Step 3: Cross multiply
    684.65x = 945.12 × 527.23
  4. Step 4: Simplify right side
    684.65x = 498,290.49
  5. Step 5: Solve for x
    x = 498,290.49/684.65
  6. Step 6: Final answer
    x = 727.80

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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.