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Finding the Fourth Proportional to 547.15, 756.53 and 477.98

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Solution

The fourth proportional to 547.15, 756.53 and 477.98 is: 660.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.15 : 756.53 = 477.98 : x
  2. Step 2: Convert to fraction form
    547.15/756.53 = 477.98/x
  3. Step 3: Cross multiply
    547.15x = 756.53 × 477.98
  4. Step 4: Simplify right side
    547.15x = 361,606.21
  5. Step 5: Solve for x
    x = 361,606.21/547.15
  6. Step 6: Final answer
    x = 660.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.