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Finding the Fourth Proportional to 547.32, 821.12 and 486.91

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Solution

The fourth proportional to 547.32, 821.12 and 486.91 is: 730.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.32 : 821.12 = 486.91 : x
  2. Step 2: Convert to fraction form
    547.32/821.12 = 486.91/x
  3. Step 3: Cross multiply
    547.32x = 821.12 × 486.91
  4. Step 4: Simplify right side
    547.32x = 399,811.54
  5. Step 5: Solve for x
    x = 399,811.54/547.32
  6. Step 6: Final answer
    x = 730.49

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1.5x scale

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.