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Finding the Fourth Proportional to 546.83, 815.90 and 508.12

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Solution

The fourth proportional to 546.83, 815.90 and 508.12 is: 758.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.83 : 815.90 = 508.12 : x
  2. Step 2: Convert to fraction form
    546.83/815.90 = 508.12/x
  3. Step 3: Cross multiply
    546.83x = 815.90 × 508.12
  4. Step 4: Simplify right side
    546.83x = 414,568.49
  5. Step 5: Solve for x
    x = 414,568.49/546.83
  6. Step 6: Final answer
    x = 758.14

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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.