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Finding the Fourth Proportional to 1,027.84, 1,418.57 and 654.70

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Solution

The fourth proportional to 1,027.84, 1,418.57 and 654.70 is: 903.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.84 : 1,418.57 = 654.70 : x
  2. Step 2: Convert to fraction form
    1,027.84/1,418.57 = 654.70/x
  3. Step 3: Cross multiply
    1,027.84x = 1,418.57 × 654.70
  4. Step 4: Simplify right side
    1,027.84x = 928,737.78
  5. Step 5: Solve for x
    x = 928,737.78/1,027.84
  6. Step 6: Final answer
    x = 903.58

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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.