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Finding the Fourth Proportional to 665.23, 998.73 and 431.29

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Solution

The fourth proportional to 665.23, 998.73 and 431.29 is: 647.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.23 : 998.73 = 431.29 : x
  2. Step 2: Convert to fraction form
    665.23/998.73 = 431.29/x
  3. Step 3: Cross multiply
    665.23x = 998.73 × 431.29
  4. Step 4: Simplify right side
    665.23x = 430,743.51
  5. Step 5: Solve for x
    x = 430,743.51/665.23
  6. Step 6: Final answer
    x = 647.51

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Double scale
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Similar ratio
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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.