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Finding the Fourth Proportional to 523.65, 726.38 and 495.98

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Solution

The fourth proportional to 523.65, 726.38 and 495.98 is: 688.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.65 : 726.38 = 495.98 : x
  2. Step 2: Convert to fraction form
    523.65/726.38 = 495.98/x
  3. Step 3: Cross multiply
    523.65x = 726.38 × 495.98
  4. Step 4: Simplify right side
    523.65x = 360,269.95
  5. Step 5: Solve for x
    x = 360,269.95/523.65
  6. Step 6: Final answer
    x = 688.00

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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.