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Finding the Fourth Proportional to 523.84, 726.35 and 506.49

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Solution

The fourth proportional to 523.84, 726.35 and 506.49 is: 702.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.84 : 726.35 = 506.49 : x
  2. Step 2: Convert to fraction form
    523.84/726.35 = 506.49/x
  3. Step 3: Cross multiply
    523.84x = 726.35 × 506.49
  4. Step 4: Simplify right side
    523.84x = 367,889.01
  5. Step 5: Solve for x
    x = 367,889.01/523.84
  6. Step 6: Final answer
    x = 702.29

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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.