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Finding the Fourth Proportional to 656.96, 900.73 and 645.26

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Solution

The fourth proportional to 656.96, 900.73 and 645.26 is: 884.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.96 : 900.73 = 645.26 : x
  2. Step 2: Convert to fraction form
    656.96/900.73 = 645.26/x
  3. Step 3: Cross multiply
    656.96x = 900.73 × 645.26
  4. Step 4: Simplify right side
    656.96x = 581,205.04
  5. Step 5: Solve for x
    x = 581,205.04/656.96
  6. Step 6: Final answer
    x = 884.69

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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.