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Finding the Fourth Proportional to 711.99, 982.59 and 502.23

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Solution

The fourth proportional to 711.99, 982.59 and 502.23 is: 693.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.99 : 982.59 = 502.23 : x
  2. Step 2: Convert to fraction form
    711.99/982.59 = 502.23/x
  3. Step 3: Cross multiply
    711.99x = 982.59 × 502.23
  4. Step 4: Simplify right side
    711.99x = 493,487.98
  5. Step 5: Solve for x
    x = 493,487.98/711.99
  6. Step 6: Final answer
    x = 693.11

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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.