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Finding the Fourth Proportional to 575.42, 867.96 and 541.74

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Solution

The fourth proportional to 575.42, 867.96 and 541.74 is: 817.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.42 : 867.96 = 541.74 : x
  2. Step 2: Convert to fraction form
    575.42/867.96 = 541.74/x
  3. Step 3: Cross multiply
    575.42x = 867.96 × 541.74
  4. Step 4: Simplify right side
    575.42x = 470,201.60
  5. Step 5: Solve for x
    x = 470,201.60/575.42
  6. Step 6: Final answer
    x = 817.15

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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.