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Finding the Fourth Proportional to 547.11, 813.29 and 530.73

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Solution

The fourth proportional to 547.11, 813.29 and 530.73 is: 788.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.11 : 813.29 = 530.73 : x
  2. Step 2: Convert to fraction form
    547.11/813.29 = 530.73/x
  3. Step 3: Cross multiply
    547.11x = 813.29 × 530.73
  4. Step 4: Simplify right side
    547.11x = 431,634.75
  5. Step 5: Solve for x
    x = 431,634.75/547.11
  6. Step 6: Final answer
    x = 788.94

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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.