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Finding the Fourth Proportional to 574.95, 862.55 and 164.08

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Solution

The fourth proportional to 574.95, 862.55 and 164.08 is: 246.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.95 : 862.55 = 164.08 : x
  2. Step 2: Convert to fraction form
    574.95/862.55 = 164.08/x
  3. Step 3: Cross multiply
    574.95x = 862.55 × 164.08
  4. Step 4: Simplify right side
    574.95x = 141,523.23
  5. Step 5: Solve for x
    x = 141,523.23/574.95
  6. Step 6: Final answer
    x = 246.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.