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Finding the Fourth Proportional to 512.70, 707.53 and 291.67

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Solution

The fourth proportional to 512.70, 707.53 and 291.67 is: 402.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.70 : 707.53 = 291.67 : x
  2. Step 2: Convert to fraction form
    512.70/707.53 = 291.67/x
  3. Step 3: Cross multiply
    512.70x = 707.53 × 291.67
  4. Step 4: Simplify right side
    512.70x = 206,365.28
  5. Step 5: Solve for x
    x = 206,365.28/512.70
  6. Step 6: Final answer
    x = 402.51

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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.