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Finding the Fourth Proportional to 706.20, 973.77 and 519.80

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Solution

The fourth proportional to 706.20, 973.77 and 519.80 is: 716.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.20 : 973.77 = 519.80 : x
  2. Step 2: Convert to fraction form
    706.20/973.77 = 519.80/x
  3. Step 3: Cross multiply
    706.20x = 973.77 × 519.80
  4. Step 4: Simplify right side
    706.20x = 506,162.48
  5. Step 5: Solve for x
    x = 506,162.48/706.20
  6. Step 6: Final answer
    x = 716.74

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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.