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Finding the Fourth Proportional to 524.49, 727.15 and 495.33

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Solution

The fourth proportional to 524.49, 727.15 and 495.33 is: 686.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.49 : 727.15 = 495.33 : x
  2. Step 2: Convert to fraction form
    524.49/727.15 = 495.33/x
  3. Step 3: Cross multiply
    524.49x = 727.15 × 495.33
  4. Step 4: Simplify right side
    524.49x = 360,179.21
  5. Step 5: Solve for x
    x = 360,179.21/524.49
  6. Step 6: Final answer
    x = 686.72

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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.