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Finding the Fourth Proportional to 1,288.55, 1,778.19 and 699.07

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Solution

The fourth proportional to 1,288.55, 1,778.19 and 699.07 is: 964.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.55 : 1,778.19 = 699.07 : x
  2. Step 2: Convert to fraction form
    1,288.55/1,778.19 = 699.07/x
  3. Step 3: Cross multiply
    1,288.55x = 1,778.19 × 699.07
  4. Step 4: Simplify right side
    1,288.55x = 1,243,077.54
  5. Step 5: Solve for x
    x = 1,243,077.54/1,288.55
  6. Step 6: Final answer
    x = 964.71

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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.