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Finding the Fourth Proportional to 712.13, 982.23 and 463.67

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Solution

The fourth proportional to 712.13, 982.23 and 463.67 is: 639.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.13 : 982.23 = 463.67 : x
  2. Step 2: Convert to fraction form
    712.13/982.23 = 463.67/x
  3. Step 3: Cross multiply
    712.13x = 982.23 × 463.67
  4. Step 4: Simplify right side
    712.13x = 455,430.58
  5. Step 5: Solve for x
    x = 455,430.58/712.13
  6. Step 6: Final answer
    x = 639.53

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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.