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Finding the Fourth Proportional to 961.93, 1,435.12 and 858.05

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Solution

The fourth proportional to 961.93, 1,435.12 and 858.05 is: 1,280.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.93 : 1,435.12 = 858.05 : x
  2. Step 2: Convert to fraction form
    961.93/1,435.12 = 858.05/x
  3. Step 3: Cross multiply
    961.93x = 1,435.12 × 858.05
  4. Step 4: Simplify right side
    961.93x = 1,231,404.72
  5. Step 5: Solve for x
    x = 1,231,404.72/961.93
  6. Step 6: Final answer
    x = 1,280.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.