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Finding the Fourth Proportional to 657.42, 906.63 and 421.13

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Solution

The fourth proportional to 657.42, 906.63 and 421.13 is: 580.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.42 : 906.63 = 421.13 : x
  2. Step 2: Convert to fraction form
    657.42/906.63 = 421.13/x
  3. Step 3: Cross multiply
    657.42x = 906.63 × 421.13
  4. Step 4: Simplify right side
    657.42x = 381,809.78
  5. Step 5: Solve for x
    x = 381,809.78/657.42
  6. Step 6: Final answer
    x = 580.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.