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Finding the Fourth Proportional to 575.44, 857.61 and 574.53

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Solution

The fourth proportional to 575.44, 857.61 and 574.53 is: 856.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.44 : 857.61 = 574.53 : x
  2. Step 2: Convert to fraction form
    575.44/857.61 = 574.53/x
  3. Step 3: Cross multiply
    575.44x = 857.61 × 574.53
  4. Step 4: Simplify right side
    575.44x = 492,716.95
  5. Step 5: Solve for x
    x = 492,716.95/575.44
  6. Step 6: Final answer
    x = 856.24

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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.