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Finding the Fourth Proportional to 1,433.78, 1,977.50 and 961.52

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Solution

The fourth proportional to 1,433.78, 1,977.50 and 961.52 is: 1,326.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.78 : 1,977.50 = 961.52 : x
  2. Step 2: Convert to fraction form
    1,433.78/1,977.50 = 961.52/x
  3. Step 3: Cross multiply
    1,433.78x = 1,977.50 × 961.52
  4. Step 4: Simplify right side
    1,433.78x = 1,901,391.10
  5. Step 5: Solve for x
    x = 1,901,391.10/1,433.78
  6. Step 6: Final answer
    x = 1,326.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.