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Finding the Fourth Proportional to 777.70, 1,165.02 and 516.92

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Solution

The fourth proportional to 777.70, 1,165.02 and 516.92 is: 774.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.70 : 1,165.02 = 516.92 : x
  2. Step 2: Convert to fraction form
    777.70/1,165.02 = 516.92/x
  3. Step 3: Cross multiply
    777.70x = 1,165.02 × 516.92
  4. Step 4: Simplify right side
    777.70x = 602,222.14
  5. Step 5: Solve for x
    x = 602,222.14/777.70
  6. Step 6: Final answer
    x = 774.36

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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.