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Finding the Fourth Proportional to 523.24, 780.77 and 468.70

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Solution

The fourth proportional to 523.24, 780.77 and 468.70 is: 699.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.24 : 780.77 = 468.70 : x
  2. Step 2: Convert to fraction form
    523.24/780.77 = 468.70/x
  3. Step 3: Cross multiply
    523.24x = 780.77 × 468.70
  4. Step 4: Simplify right side
    523.24x = 365,946.90
  5. Step 5: Solve for x
    x = 365,946.90/523.24
  6. Step 6: Final answer
    x = 699.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.