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Finding the Fourth Proportional to 656.65, 906.14 and 376.88

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Solution

The fourth proportional to 656.65, 906.14 and 376.88 is: 520.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.65 : 906.14 = 376.88 : x
  2. Step 2: Convert to fraction form
    656.65/906.14 = 376.88/x
  3. Step 3: Cross multiply
    656.65x = 906.14 × 376.88
  4. Step 4: Simplify right side
    656.65x = 341,502.45
  5. Step 5: Solve for x
    x = 341,502.45/656.65
  6. Step 6: Final answer
    x = 520.07

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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.