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Finding the Fourth Proportional to 1,017.46, 1,411.78 and 976.33

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Solution

The fourth proportional to 1,017.46, 1,411.78 and 976.33 is: 1,354.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.46 : 1,411.78 = 976.33 : x
  2. Step 2: Convert to fraction form
    1,017.46/1,411.78 = 976.33/x
  3. Step 3: Cross multiply
    1,017.46x = 1,411.78 × 976.33
  4. Step 4: Simplify right side
    1,017.46x = 1,378,363.17
  5. Step 5: Solve for x
    x = 1,378,363.17/1,017.46
  6. Step 6: Final answer
    x = 1,354.71

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.