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Finding the Fourth Proportional to 547.61, 816.91 and 508.32

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Solution

The fourth proportional to 547.61, 816.91 and 508.32 is: 758.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.61 : 816.91 = 508.32 : x
  2. Step 2: Convert to fraction form
    547.61/816.91 = 508.32/x
  3. Step 3: Cross multiply
    547.61x = 816.91 × 508.32
  4. Step 4: Simplify right side
    547.61x = 415,250.42
  5. Step 5: Solve for x
    x = 415,250.42/547.61
  6. Step 6: Final answer
    x = 758.30

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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.