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Finding the Fourth Proportional to 1,029.35, 1,542.65 and 919.54

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Solution

The fourth proportional to 1,029.35, 1,542.65 and 919.54 is: 1,378.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.35 : 1,542.65 = 919.54 : x
  2. Step 2: Convert to fraction form
    1,029.35/1,542.65 = 919.54/x
  3. Step 3: Cross multiply
    1,029.35x = 1,542.65 × 919.54
  4. Step 4: Simplify right side
    1,029.35x = 1,418,528.38
  5. Step 5: Solve for x
    x = 1,418,528.38/1,029.35
  6. Step 6: Final answer
    x = 1,378.08

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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.