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Finding the Fourth Proportional to 655.57, 903.79 and 478.18

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Solution

The fourth proportional to 655.57, 903.79 and 478.18 is: 659.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.57 : 903.79 = 478.18 : x
  2. Step 2: Convert to fraction form
    655.57/903.79 = 478.18/x
  3. Step 3: Cross multiply
    655.57x = 903.79 × 478.18
  4. Step 4: Simplify right side
    655.57x = 432,174.30
  5. Step 5: Solve for x
    x = 432,174.30/655.57
  6. Step 6: Final answer
    x = 659.23

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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.