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Finding the Fourth Proportional to 546, 815.18 and 464.88

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Solution

The fourth proportional to 546, 815.18 and 464.88 is: 694.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    546 : 815.18 = 464.88 : x
  2. Step 2: Convert to fraction form
    546/815.18 = 464.88/x
  3. Step 3: Cross multiply
    546x = 815.18 × 464.88
  4. Step 4: Simplify right side
    546x = 378,960.88
  5. Step 5: Solve for x
    x = 378,960.88/546
  6. Step 6: Final answer
    x = 694.07

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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.