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Finding the Fourth Proportional to 554.97, 830.42 and 334.81

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Solution

The fourth proportional to 554.97, 830.42 and 334.81 is: 500.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.97 : 830.42 = 334.81 : x
  2. Step 2: Convert to fraction form
    554.97/830.42 = 334.81/x
  3. Step 3: Cross multiply
    554.97x = 830.42 × 334.81
  4. Step 4: Simplify right side
    554.97x = 278,031.25
  5. Step 5: Solve for x
    x = 278,031.25/554.97
  6. Step 6: Final answer
    x = 500.98

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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.