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Finding the Fourth Proportional to 513.04, 707.52 and 338.08

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Solution

The fourth proportional to 513.04, 707.52 and 338.08 is: 466.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.04 : 707.52 = 338.08 : x
  2. Step 2: Convert to fraction form
    513.04/707.52 = 338.08/x
  3. Step 3: Cross multiply
    513.04x = 707.52 × 338.08
  4. Step 4: Simplify right side
    513.04x = 239,198.36
  5. Step 5: Solve for x
    x = 239,198.36/513.04
  6. Step 6: Final answer
    x = 466.24

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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.