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Finding the Fourth Proportional to 656.50, 906.06 and 380.50

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Solution

The fourth proportional to 656.50, 906.06 and 380.50 is: 525.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.50 : 906.06 = 380.50 : x
  2. Step 2: Convert to fraction form
    656.50/906.06 = 380.50/x
  3. Step 3: Cross multiply
    656.50x = 906.06 × 380.50
  4. Step 4: Simplify right side
    656.50x = 344,755.83
  5. Step 5: Solve for x
    x = 344,755.83/656.50
  6. Step 6: Final answer
    x = 525.14

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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.