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Finding the Fourth Proportional to 604.69, 903.19 and 546.82

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Solution

The fourth proportional to 604.69, 903.19 and 546.82 is: 816.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.69 : 903.19 = 546.82 : x
  2. Step 2: Convert to fraction form
    604.69/903.19 = 546.82/x
  3. Step 3: Cross multiply
    604.69x = 903.19 × 546.82
  4. Step 4: Simplify right side
    604.69x = 493,882.36
  5. Step 5: Solve for x
    x = 493,882.36/604.69
  6. Step 6: Final answer
    x = 816.75

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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.