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Finding the Fourth Proportional to 547.01, 816.54 and 506.36

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Solution

The fourth proportional to 547.01, 816.54 and 506.36 is: 755.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.01 : 816.54 = 506.36 : x
  2. Step 2: Convert to fraction form
    547.01/816.54 = 506.36/x
  3. Step 3: Cross multiply
    547.01x = 816.54 × 506.36
  4. Step 4: Simplify right side
    547.01x = 413,461.16
  5. Step 5: Solve for x
    x = 413,461.16/547.01
  6. Step 6: Final answer
    x = 755.85

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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.