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Finding the Fourth Proportional to 1,081.70, 1,623.76 and 432.88

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Solution

The fourth proportional to 1,081.70, 1,623.76 and 432.88 is: 649.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081.70 : 1,623.76 = 432.88 : x
  2. Step 2: Convert to fraction form
    1,081.70/1,623.76 = 432.88/x
  3. Step 3: Cross multiply
    1,081.70x = 1,623.76 × 432.88
  4. Step 4: Simplify right side
    1,081.70x = 702,893.23
  5. Step 5: Solve for x
    x = 702,893.23/1,081.70
  6. Step 6: Final answer
    x = 649.80

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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.