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Finding the Fourth Proportional to 523.40, 722.26 and 290.52

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Solution

The fourth proportional to 523.40, 722.26 and 290.52 is: 400.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.40 : 722.26 = 290.52 : x
  2. Step 2: Convert to fraction form
    523.40/722.26 = 290.52/x
  3. Step 3: Cross multiply
    523.40x = 722.26 × 290.52
  4. Step 4: Simplify right side
    523.40x = 209,830.98
  5. Step 5: Solve for x
    x = 209,830.98/523.40
  6. Step 6: Final answer
    x = 400.90

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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.