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Finding the Fourth Proportional to 1,027.84, 1,535.33 and 678.28

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Solution

The fourth proportional to 1,027.84, 1,535.33 and 678.28 is: 1,013.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.84 : 1,535.33 = 678.28 : x
  2. Step 2: Convert to fraction form
    1,027.84/1,535.33 = 678.28/x
  3. Step 3: Cross multiply
    1,027.84x = 1,535.33 × 678.28
  4. Step 4: Simplify right side
    1,027.84x = 1,041,383.63
  5. Step 5: Solve for x
    x = 1,041,383.63/1,027.84
  6. Step 6: Final answer
    x = 1,013.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.