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Finding the Fourth Proportional to 1,081.84, 1,623.21 and 432.67

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Solution

The fourth proportional to 1,081.84, 1,623.21 and 432.67 is: 649.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081.84 : 1,623.21 = 432.67 : x
  2. Step 2: Convert to fraction form
    1,081.84/1,623.21 = 432.67/x
  3. Step 3: Cross multiply
    1,081.84x = 1,623.21 × 432.67
  4. Step 4: Simplify right side
    1,081.84x = 702,314.27
  5. Step 5: Solve for x
    x = 702,314.27/1,081.84
  6. Step 6: Final answer
    x = 649.18

Related Problems

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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.