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Finding the Fourth Proportional to 713.86, 984.78 and 451.72

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Solution

The fourth proportional to 713.86, 984.78 and 451.72 is: 623.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.86 : 984.78 = 451.72 : x
  2. Step 2: Convert to fraction form
    713.86/984.78 = 451.72/x
  3. Step 3: Cross multiply
    713.86x = 984.78 × 451.72
  4. Step 4: Simplify right side
    713.86x = 444,844.82
  5. Step 5: Solve for x
    x = 444,844.82/713.86
  6. Step 6: Final answer
    x = 623.15

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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.