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Finding the Fourth Proportional to 512.73, 707.40 and 313.47

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Solution

The fourth proportional to 512.73, 707.40 and 313.47 is: 432.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.73 : 707.40 = 313.47 : x
  2. Step 2: Convert to fraction form
    512.73/707.40 = 313.47/x
  3. Step 3: Cross multiply
    512.73x = 707.40 × 313.47
  4. Step 4: Simplify right side
    512.73x = 221,748.68
  5. Step 5: Solve for x
    x = 221,748.68/512.73
  6. Step 6: Final answer
    x = 432.49

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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.