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Finding the Fourth Proportional to 546.16, 814.70 and 513.04

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Solution

The fourth proportional to 546.16, 814.70 and 513.04 is: 765.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.16 : 814.70 = 513.04 : x
  2. Step 2: Convert to fraction form
    546.16/814.70 = 513.04/x
  3. Step 3: Cross multiply
    546.16x = 814.70 × 513.04
  4. Step 4: Simplify right side
    546.16x = 417,973.69
  5. Step 5: Solve for x
    x = 417,973.69/546.16
  6. Step 6: Final answer
    x = 765.30

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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.