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Finding the Fourth Proportional to 546.08, 817.49 and 340.00

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Solution

The fourth proportional to 546.08, 817.49 and 340.00 is: 508.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.08 : 817.49 = 340.00 : x
  2. Step 2: Convert to fraction form
    546.08/817.49 = 340.00/x
  3. Step 3: Cross multiply
    546.08x = 817.49 × 340.00
  4. Step 4: Simplify right side
    546.08x = 277,945.41
  5. Step 5: Solve for x
    x = 277,945.41/546.08
  6. Step 6: Final answer
    x = 508.99

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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.