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Finding the Fourth Proportional to 436.34, 657.74 and 411.26

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Solution

The fourth proportional to 436.34, 657.74 and 411.26 is: 619.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.34 : 657.74 = 411.26 : x
  2. Step 2: Convert to fraction form
    436.34/657.74 = 411.26/x
  3. Step 3: Cross multiply
    436.34x = 657.74 × 411.26
  4. Step 4: Simplify right side
    436.34x = 270,502.15
  5. Step 5: Solve for x
    x = 270,502.15/436.34
  6. Step 6: Final answer
    x = 619.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.