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Finding the Fourth Proportional to 547.48, 816.72 and 508.20

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Solution

The fourth proportional to 547.48, 816.72 and 508.20 is: 758.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.48 : 816.72 = 508.20 : x
  2. Step 2: Convert to fraction form
    547.48/816.72 = 508.20/x
  3. Step 3: Cross multiply
    547.48x = 816.72 × 508.20
  4. Step 4: Simplify right side
    547.48x = 415,057.10
  5. Step 5: Solve for x
    x = 415,057.10/547.48
  6. Step 6: Final answer
    x = 758.12

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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.