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Finding the Fourth Proportional to 961.53, 1,326.07 and 774.96

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Solution

The fourth proportional to 961.53, 1,326.07 and 774.96 is: 1,068.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.53 : 1,326.07 = 774.96 : x
  2. Step 2: Convert to fraction form
    961.53/1,326.07 = 774.96/x
  3. Step 3: Cross multiply
    961.53x = 1,326.07 × 774.96
  4. Step 4: Simplify right side
    961.53x = 1,027,651.21
  5. Step 5: Solve for x
    x = 1,027,651.21/961.53
  6. Step 6: Final answer
    x = 1,068.77

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1.5x scale

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.