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Finding the Fourth Proportional to 961.19, 1,447.83 and 875.07

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Solution

The fourth proportional to 961.19, 1,447.83 and 875.07 is: 1,318.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.19 : 1,447.83 = 875.07 : x
  2. Step 2: Convert to fraction form
    961.19/1,447.83 = 875.07/x
  3. Step 3: Cross multiply
    961.19x = 1,447.83 × 875.07
  4. Step 4: Simplify right side
    961.19x = 1,266,952.60
  5. Step 5: Solve for x
    x = 1,266,952.60/961.19
  6. Step 6: Final answer
    x = 1,318.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.