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Finding the Fourth Proportional to 706.06, 974.40 and 519.46

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Solution

The fourth proportional to 706.06, 974.40 and 519.46 is: 716.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.06 : 974.40 = 519.46 : x
  2. Step 2: Convert to fraction form
    706.06/974.40 = 519.46/x
  3. Step 3: Cross multiply
    706.06x = 974.40 × 519.46
  4. Step 4: Simplify right side
    706.06x = 506,161.82
  5. Step 5: Solve for x
    x = 506,161.82/706.06
  6. Step 6: Final answer
    x = 716.88

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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.