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Finding the Fourth Proportional to 657.14, 906.98 and 421.04

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Solution

The fourth proportional to 657.14, 906.98 and 421.04 is: 581.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.14 : 906.98 = 421.04 : x
  2. Step 2: Convert to fraction form
    657.14/906.98 = 421.04/x
  3. Step 3: Cross multiply
    657.14x = 906.98 × 421.04
  4. Step 4: Simplify right side
    657.14x = 381,870.12
  5. Step 5: Solve for x
    x = 381,870.12/657.14
  6. Step 6: Final answer
    x = 581.11

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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.