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Finding the Fourth Proportional to 1,409.66, 1,944.50 and 884.78

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Solution

The fourth proportional to 1,409.66, 1,944.50 and 884.78 is: 1,220.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.66 : 1,944.50 = 884.78 : x
  2. Step 2: Convert to fraction form
    1,409.66/1,944.50 = 884.78/x
  3. Step 3: Cross multiply
    1,409.66x = 1,944.50 × 884.78
  4. Step 4: Simplify right side
    1,409.66x = 1,720,454.71
  5. Step 5: Solve for x
    x = 1,720,454.71/1,409.66
  6. Step 6: Final answer
    x = 1,220.47

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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.