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Finding the Fourth Proportional to 574.87, 860.90 and 546.16

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Solution

The fourth proportional to 574.87, 860.90 and 546.16 is: 817.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.87 : 860.90 = 546.16 : x
  2. Step 2: Convert to fraction form
    574.87/860.90 = 546.16/x
  3. Step 3: Cross multiply
    574.87x = 860.90 × 546.16
  4. Step 4: Simplify right side
    574.87x = 470,184.84
  5. Step 5: Solve for x
    x = 470,184.84/574.87
  6. Step 6: Final answer
    x = 817.90

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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.