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Finding the Fourth Proportional to 700.22, 964.97 and 503.39

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Solution

The fourth proportional to 700.22, 964.97 and 503.39 is: 693.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.22 : 964.97 = 503.39 : x
  2. Step 2: Convert to fraction form
    700.22/964.97 = 503.39/x
  3. Step 3: Cross multiply
    700.22x = 964.97 × 503.39
  4. Step 4: Simplify right side
    700.22x = 485,753.73
  5. Step 5: Solve for x
    x = 485,753.73/700.22
  6. Step 6: Final answer
    x = 693.72

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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.