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Finding the Fourth Proportional to 1,078, 1,484.65 and 1,022.38

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Solution

The fourth proportional to 1,078, 1,484.65 and 1,022.38 is: 1,408.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078 : 1,484.65 = 1,022.38 : x
  2. Step 2: Convert to fraction form
    1,078/1,484.65 = 1,022.38/x
  3. Step 3: Cross multiply
    1,078x = 1,484.65 × 1,022.38
  4. Step 4: Simplify right side
    1,078x = 1,517,876.47
  5. Step 5: Solve for x
    x = 1,517,876.47/1,078
  6. Step 6: Final answer
    x = 1,408.05

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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.