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Finding the Fourth Proportional to 712.81, 982.50 and 537.85

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Solution

The fourth proportional to 712.81, 982.50 and 537.85 is: 741.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.81 : 982.50 = 537.85 : x
  2. Step 2: Convert to fraction form
    712.81/982.50 = 537.85/x
  3. Step 3: Cross multiply
    712.81x = 982.50 × 537.85
  4. Step 4: Simplify right side
    712.81x = 528,437.63
  5. Step 5: Solve for x
    x = 528,437.63/712.81
  6. Step 6: Final answer
    x = 741.34

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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.