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Finding the Fourth Proportional to 523.47, 780.43 and 516.99

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Solution

The fourth proportional to 523.47, 780.43 and 516.99 is: 770.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.47 : 780.43 = 516.99 : x
  2. Step 2: Convert to fraction form
    523.47/780.43 = 516.99/x
  3. Step 3: Cross multiply
    523.47x = 780.43 × 516.99
  4. Step 4: Simplify right side
    523.47x = 403,474.51
  5. Step 5: Solve for x
    x = 403,474.51/523.47
  6. Step 6: Final answer
    x = 770.77

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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.