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Finding the Fourth Proportional to 513.58, 707.80 and 371.74

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Solution

The fourth proportional to 513.58, 707.80 and 371.74 is: 512.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.58 : 707.80 = 371.74 : x
  2. Step 2: Convert to fraction form
    513.58/707.80 = 371.74/x
  3. Step 3: Cross multiply
    513.58x = 707.80 × 371.74
  4. Step 4: Simplify right side
    513.58x = 263,115.71
  5. Step 5: Solve for x
    x = 263,115.71/513.58
  6. Step 6: Final answer
    x = 512.32

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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.