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Finding the Fourth Proportional to 789.63, 1,089.09 and 715.92

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Solution

The fourth proportional to 789.63, 1,089.09 and 715.92 is: 987.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.63 : 1,089.09 = 715.92 : x
  2. Step 2: Convert to fraction form
    789.63/1,089.09 = 715.92/x
  3. Step 3: Cross multiply
    789.63x = 1,089.09 × 715.92
  4. Step 4: Simplify right side
    789.63x = 779,701.31
  5. Step 5: Solve for x
    x = 779,701.31/789.63
  6. Step 6: Final answer
    x = 987.43

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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.