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Finding the Fourth Proportional to 515.72, 707.08 and 506.48

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Solution

The fourth proportional to 515.72, 707.08 and 506.48 is: 694.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.72 : 707.08 = 506.48 : x
  2. Step 2: Convert to fraction form
    515.72/707.08 = 506.48/x
  3. Step 3: Cross multiply
    515.72x = 707.08 × 506.48
  4. Step 4: Simplify right side
    515.72x = 358,121.88
  5. Step 5: Solve for x
    x = 358,121.88/515.72
  6. Step 6: Final answer
    x = 694.41

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.