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Finding the Fourth Proportional to 523.04, 786.06 and 517.55

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Solution

The fourth proportional to 523.04, 786.06 and 517.55 is: 777.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.04 : 786.06 = 517.55 : x
  2. Step 2: Convert to fraction form
    523.04/786.06 = 517.55/x
  3. Step 3: Cross multiply
    523.04x = 786.06 × 517.55
  4. Step 4: Simplify right side
    523.04x = 406,821.42
  5. Step 5: Solve for x
    x = 406,821.42/523.04
  6. Step 6: Final answer
    x = 777.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.