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Finding the Fourth Proportional to 546.08, 815.18 and 464.04

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Solution

The fourth proportional to 546.08, 815.18 and 464.04 is: 692.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.08 : 815.18 = 464.04 : x
  2. Step 2: Convert to fraction form
    546.08/815.18 = 464.04/x
  3. Step 3: Cross multiply
    546.08x = 815.18 × 464.04
  4. Step 4: Simplify right side
    546.08x = 378,273.81
  5. Step 5: Solve for x
    x = 378,273.81/546.08
  6. Step 6: Final answer
    x = 692.71

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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.