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Finding the Fourth Proportional to 657.32, 906.66 and 421.34

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Solution

The fourth proportional to 657.32, 906.66 and 421.34 is: 581.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.32 : 906.66 = 421.34 : x
  2. Step 2: Convert to fraction form
    657.32/906.66 = 421.34/x
  3. Step 3: Cross multiply
    657.32x = 906.66 × 421.34
  4. Step 4: Simplify right side
    657.32x = 382,007.59
  5. Step 5: Solve for x
    x = 382,007.59/657.32
  6. Step 6: Final answer
    x = 581.16

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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.