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Finding the Fourth Proportional to 1,081.97, 1,623.22 and 312.47

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Solution

The fourth proportional to 1,081.97, 1,623.22 and 312.47 is: 468.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081.97 : 1,623.22 = 312.47 : x
  2. Step 2: Convert to fraction form
    1,081.97/1,623.22 = 312.47/x
  3. Step 3: Cross multiply
    1,081.97x = 1,623.22 × 312.47
  4. Step 4: Simplify right side
    1,081.97x = 507,206.50
  5. Step 5: Solve for x
    x = 507,206.50/1,081.97
  6. Step 6: Final answer
    x = 468.78

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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.