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Finding the Fourth Proportional to 1,285.86, 1,774.49 and 696.40

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Solution

The fourth proportional to 1,285.86, 1,774.49 and 696.40 is: 961.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.86 : 1,774.49 = 696.40 : x
  2. Step 2: Convert to fraction form
    1,285.86/1,774.49 = 696.40/x
  3. Step 3: Cross multiply
    1,285.86x = 1,774.49 × 696.40
  4. Step 4: Simplify right side
    1,285.86x = 1,235,745.96
  5. Step 5: Solve for x
    x = 1,235,745.96/1,285.86
  6. Step 6: Final answer
    x = 961.03

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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.