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Finding the Fourth Proportional to 656.85, 900.57 and 645.14

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Solution

The fourth proportional to 656.85, 900.57 and 645.14 is: 884.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.85 : 900.57 = 645.14 : x
  2. Step 2: Convert to fraction form
    656.85/900.57 = 645.14/x
  3. Step 3: Cross multiply
    656.85x = 900.57 × 645.14
  4. Step 4: Simplify right side
    656.85x = 580,995.98
  5. Step 5: Solve for x
    x = 580,995.98/656.85
  6. Step 6: Final answer
    x = 884.52

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.