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Finding the Fourth Proportional to 655.59, 905.26 and 585.53

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Solution

The fourth proportional to 655.59, 905.26 and 585.53 is: 808.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.59 : 905.26 = 585.53 : x
  2. Step 2: Convert to fraction form
    655.59/905.26 = 585.53/x
  3. Step 3: Cross multiply
    655.59x = 905.26 × 585.53
  4. Step 4: Simplify right side
    655.59x = 530,052.36
  5. Step 5: Solve for x
    x = 530,052.36/655.59
  6. Step 6: Final answer
    x = 808.51

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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.