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Finding the Fourth Proportional to 713.75, 985.52 and 536.96

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Solution

The fourth proportional to 713.75, 985.52 and 536.96 is: 741.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.75 : 985.52 = 536.96 : x
  2. Step 2: Convert to fraction form
    713.75/985.52 = 536.96/x
  3. Step 3: Cross multiply
    713.75x = 985.52 × 536.96
  4. Step 4: Simplify right side
    713.75x = 529,177.21
  5. Step 5: Solve for x
    x = 529,177.21/713.75
  6. Step 6: Final answer
    x = 741.41

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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.