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Finding the Fourth Proportional to 994.74, 1,488.66 and 787.56

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Solution

The fourth proportional to 994.74, 1,488.66 and 787.56 is: 1,178.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.74 : 1,488.66 = 787.56 : x
  2. Step 2: Convert to fraction form
    994.74/1,488.66 = 787.56/x
  3. Step 3: Cross multiply
    994.74x = 1,488.66 × 787.56
  4. Step 4: Simplify right side
    994.74x = 1,172,409.07
  5. Step 5: Solve for x
    x = 1,172,409.07/994.74
  6. Step 6: Final answer
    x = 1,178.61

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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.