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Finding the Fourth Proportional to 961.78, 1,440.90 and 858.01

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Solution

The fourth proportional to 961.78, 1,440.90 and 858.01 is: 1,285.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.78 : 1,440.90 = 858.01 : x
  2. Step 2: Convert to fraction form
    961.78/1,440.90 = 858.01/x
  3. Step 3: Cross multiply
    961.78x = 1,440.90 × 858.01
  4. Step 4: Simplify right side
    961.78x = 1,236,303.01
  5. Step 5: Solve for x
    x = 1,236,303.01/961.78
  6. Step 6: Final answer
    x = 1,285.44

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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.