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Finding the Fourth Proportional to 547.32, 816.45 and 538.68

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Solution

The fourth proportional to 547.32, 816.45 and 538.68 is: 803.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.32 : 816.45 = 538.68 : x
  2. Step 2: Convert to fraction form
    547.32/816.45 = 538.68/x
  3. Step 3: Cross multiply
    547.32x = 816.45 × 538.68
  4. Step 4: Simplify right side
    547.32x = 439,805.29
  5. Step 5: Solve for x
    x = 439,805.29/547.32
  6. Step 6: Final answer
    x = 803.56

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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.