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Finding the Fourth Proportional to 902.69, 1,246.61 and 777.65

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Solution

The fourth proportional to 902.69, 1,246.61 and 777.65 is: 1,073.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.69 : 1,246.61 = 777.65 : x
  2. Step 2: Convert to fraction form
    902.69/1,246.61 = 777.65/x
  3. Step 3: Cross multiply
    902.69x = 1,246.61 × 777.65
  4. Step 4: Simplify right side
    902.69x = 969,421.98
  5. Step 5: Solve for x
    x = 969,421.98/902.69
  6. Step 6: Final answer
    x = 1,073.93

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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.