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Finding the Fourth Proportional to 1,733.86, 2,600.67 and 809.62

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Solution

The fourth proportional to 1,733.86, 2,600.67 and 809.62 is: 1,214.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,733.86 : 2,600.67 = 809.62 : x
  2. Step 2: Convert to fraction form
    1,733.86/2,600.67 = 809.62/x
  3. Step 3: Cross multiply
    1,733.86x = 2,600.67 × 809.62
  4. Step 4: Simplify right side
    1,733.86x = 2,105,565.61
  5. Step 5: Solve for x
    x = 2,105,565.61/1,733.86
  6. Step 6: Final answer
    x = 1,214.38

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1.5x scale

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.