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Finding the Fourth Proportional to 1,081.81, 1,620.57 and 715.49

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Solution

The fourth proportional to 1,081.81, 1,620.57 and 715.49 is: 1,071.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081.81 : 1,620.57 = 715.49 : x
  2. Step 2: Convert to fraction form
    1,081.81/1,620.57 = 715.49/x
  3. Step 3: Cross multiply
    1,081.81x = 1,620.57 × 715.49
  4. Step 4: Simplify right side
    1,081.81x = 1,159,496.21
  5. Step 5: Solve for x
    x = 1,159,496.21/1,081.81
  6. Step 6: Final answer
    x = 1,071.81

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Half scale
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Double scale
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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.