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Finding the Fourth Proportional to 656.63, 906.87 and 615.94

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Solution

The fourth proportional to 656.63, 906.87 and 615.94 is: 850.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.63 : 906.87 = 615.94 : x
  2. Step 2: Convert to fraction form
    656.63/906.87 = 615.94/x
  3. Step 3: Cross multiply
    656.63x = 906.87 × 615.94
  4. Step 4: Simplify right side
    656.63x = 558,577.51
  5. Step 5: Solve for x
    x = 558,577.51/656.63
  6. Step 6: Final answer
    x = 850.67

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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.