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Finding the Fourth Proportional to 713.82, 985.14 and 451.92

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Solution

The fourth proportional to 713.82, 985.14 and 451.92 is: 623.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.82 : 985.14 = 451.92 : x
  2. Step 2: Convert to fraction form
    713.82/985.14 = 451.92/x
  3. Step 3: Cross multiply
    713.82x = 985.14 × 451.92
  4. Step 4: Simplify right side
    713.82x = 445,204.47
  5. Step 5: Solve for x
    x = 445,204.47/713.82
  6. Step 6: Final answer
    x = 623.69

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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.