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Finding the Fourth Proportional to 1,036.77, 1,552.71 and 963.87

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Solution

The fourth proportional to 1,036.77, 1,552.71 and 963.87 is: 1,443.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.77 : 1,552.71 = 963.87 : x
  2. Step 2: Convert to fraction form
    1,036.77/1,552.71 = 963.87/x
  3. Step 3: Cross multiply
    1,036.77x = 1,552.71 × 963.87
  4. Step 4: Simplify right side
    1,036.77x = 1,496,610.59
  5. Step 5: Solve for x
    x = 1,496,610.59/1,036.77
  6. Step 6: Final answer
    x = 1,443.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.