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Finding the Fourth Proportional to 1,037.66, 1,559.56 and 961.27

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Solution

The fourth proportional to 1,037.66, 1,559.56 and 961.27 is: 1,444.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.66 : 1,559.56 = 961.27 : x
  2. Step 2: Convert to fraction form
    1,037.66/1,559.56 = 961.27/x
  3. Step 3: Cross multiply
    1,037.66x = 1,559.56 × 961.27
  4. Step 4: Simplify right side
    1,037.66x = 1,499,158.24
  5. Step 5: Solve for x
    x = 1,499,158.24/1,037.66
  6. Step 6: Final answer
    x = 1,444.75

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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.