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Finding the Fourth Proportional to 547.62, 817.47 and 523.98

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Solution

The fourth proportional to 547.62, 817.47 and 523.98 is: 782.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.62 : 817.47 = 523.98 : x
  2. Step 2: Convert to fraction form
    547.62/817.47 = 523.98/x
  3. Step 3: Cross multiply
    547.62x = 817.47 × 523.98
  4. Step 4: Simplify right side
    547.62x = 428,337.93
  5. Step 5: Solve for x
    x = 428,337.93/547.62
  6. Step 6: Final answer
    x = 782.18

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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.