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Finding the Fourth Proportional to 656.23, 906.58 and 490.15

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Solution

The fourth proportional to 656.23, 906.58 and 490.15 is: 677.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.23 : 906.58 = 490.15 : x
  2. Step 2: Convert to fraction form
    656.23/906.58 = 490.15/x
  3. Step 3: Cross multiply
    656.23x = 906.58 × 490.15
  4. Step 4: Simplify right side
    656.23x = 444,355.65
  5. Step 5: Solve for x
    x = 444,355.65/656.23
  6. Step 6: Final answer
    x = 677.14

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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.