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Finding the Fourth Proportional to 1,278.84, 1,917.91 and 354.18

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Solution

The fourth proportional to 1,278.84, 1,917.91 and 354.18 is: 531.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.84 : 1,917.91 = 354.18 : x
  2. Step 2: Convert to fraction form
    1,278.84/1,917.91 = 354.18/x
  3. Step 3: Cross multiply
    1,278.84x = 1,917.91 × 354.18
  4. Step 4: Simplify right side
    1,278.84x = 679,285.36
  5. Step 5: Solve for x
    x = 679,285.36/1,278.84
  6. Step 6: Final answer
    x = 531.17

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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.