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Finding the Fourth Proportional to 700.05, 965.64 and 503.83

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Solution

The fourth proportional to 700.05, 965.64 and 503.83 is: 694.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.05 : 965.64 = 503.83 : x
  2. Step 2: Convert to fraction form
    700.05/965.64 = 503.83/x
  3. Step 3: Cross multiply
    700.05x = 965.64 × 503.83
  4. Step 4: Simplify right side
    700.05x = 486,515.99
  5. Step 5: Solve for x
    x = 486,515.99/700.05
  6. Step 6: Final answer
    x = 694.97

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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.