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Finding the Fourth Proportional to 1,093.68, 1,640.55 and 313.74

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Solution

The fourth proportional to 1,093.68, 1,640.55 and 313.74 is: 470.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.68 : 1,640.55 = 313.74 : x
  2. Step 2: Convert to fraction form
    1,093.68/1,640.55 = 313.74/x
  3. Step 3: Cross multiply
    1,093.68x = 1,640.55 × 313.74
  4. Step 4: Simplify right side
    1,093.68x = 514,706.16
  5. Step 5: Solve for x
    x = 514,706.16/1,093.68
  6. Step 6: Final answer
    x = 470.62

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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.