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Finding the Fourth Proportional to 512.99, 707.10 and 347.15

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Solution

The fourth proportional to 512.99, 707.10 and 347.15 is: 478.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.99 : 707.10 = 347.15 : x
  2. Step 2: Convert to fraction form
    512.99/707.10 = 347.15/x
  3. Step 3: Cross multiply
    512.99x = 707.10 × 347.15
  4. Step 4: Simplify right side
    512.99x = 245,469.77
  5. Step 5: Solve for x
    x = 245,469.77/512.99
  6. Step 6: Final answer
    x = 478.51

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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.