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Finding the Fourth Proportional to 664.20, 991.95 and 556.08

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Solution

The fourth proportional to 664.20, 991.95 and 556.08 is: 830.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.20 : 991.95 = 556.08 : x
  2. Step 2: Convert to fraction form
    664.20/991.95 = 556.08/x
  3. Step 3: Cross multiply
    664.20x = 991.95 × 556.08
  4. Step 4: Simplify right side
    664.20x = 551,603.56
  5. Step 5: Solve for x
    x = 551,603.56/664.20
  6. Step 6: Final answer
    x = 830.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.