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Finding the Fourth Proportional to 712.66, 982.50 and 533.04

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Solution

The fourth proportional to 712.66, 982.50 and 533.04 is: 734.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.66 : 982.50 = 533.04 : x
  2. Step 2: Convert to fraction form
    712.66/982.50 = 533.04/x
  3. Step 3: Cross multiply
    712.66x = 982.50 × 533.04
  4. Step 4: Simplify right side
    712.66x = 523,711.80
  5. Step 5: Solve for x
    x = 523,711.80/712.66
  6. Step 6: Final answer
    x = 734.87

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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.