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Finding the Fourth Proportional to 559.54, 843.14 and 464.16

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Solution

The fourth proportional to 559.54, 843.14 and 464.16 is: 699.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.54 : 843.14 = 464.16 : x
  2. Step 2: Convert to fraction form
    559.54/843.14 = 464.16/x
  3. Step 3: Cross multiply
    559.54x = 843.14 × 464.16
  4. Step 4: Simplify right side
    559.54x = 391,356.18
  5. Step 5: Solve for x
    x = 391,356.18/559.54
  6. Step 6: Final answer
    x = 699.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.