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Finding the Fourth Proportional to 1,438.45, 1,984.98 and 879.85

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Solution

The fourth proportional to 1,438.45, 1,984.98 and 879.85 is: 1,214.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438.45 : 1,984.98 = 879.85 : x
  2. Step 2: Convert to fraction form
    1,438.45/1,984.98 = 879.85/x
  3. Step 3: Cross multiply
    1,438.45x = 1,984.98 × 879.85
  4. Step 4: Simplify right side
    1,438.45x = 1,746,490.43
  5. Step 5: Solve for x
    x = 1,746,490.43/1,438.45
  6. Step 6: Final answer
    x = 1,214.15

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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.