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Finding the Fourth Proportional to 655.04, 899.23 and 648.89

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Solution

The fourth proportional to 655.04, 899.23 and 648.89 is: 890.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.04 : 899.23 = 648.89 : x
  2. Step 2: Convert to fraction form
    655.04/899.23 = 648.89/x
  3. Step 3: Cross multiply
    655.04x = 899.23 × 648.89
  4. Step 4: Simplify right side
    655.04x = 583,500.36
  5. Step 5: Solve for x
    x = 583,500.36/655.04
  6. Step 6: Final answer
    x = 890.78

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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.