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Finding the Fourth Proportional to 712.18, 982.85 and 502.43

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Solution

The fourth proportional to 712.18, 982.85 and 502.43 is: 693.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.18 : 982.85 = 502.43 : x
  2. Step 2: Convert to fraction form
    712.18/982.85 = 502.43/x
  3. Step 3: Cross multiply
    712.18x = 982.85 × 502.43
  4. Step 4: Simplify right side
    712.18x = 493,809.67
  5. Step 5: Solve for x
    x = 493,809.67/712.18
  6. Step 6: Final answer
    x = 693.38

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1.5x scale

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.