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Finding the Fourth Proportional to 655.20, 902.16 and 556.56

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Solution

The fourth proportional to 655.20, 902.16 and 556.56 is: 766.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.20 : 902.16 = 556.56 : x
  2. Step 2: Convert to fraction form
    655.20/902.16 = 556.56/x
  3. Step 3: Cross multiply
    655.20x = 902.16 × 556.56
  4. Step 4: Simplify right side
    655.20x = 502,106.17
  5. Step 5: Solve for x
    x = 502,106.17/655.20
  6. Step 6: Final answer
    x = 766.34

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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.