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Finding the Fourth Proportional to 713.53, 984.93 and 451.72

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Solution

The fourth proportional to 713.53, 984.93 and 451.72 is: 623.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.53 : 984.93 = 451.72 : x
  2. Step 2: Convert to fraction form
    713.53/984.93 = 451.72/x
  3. Step 3: Cross multiply
    713.53x = 984.93 × 451.72
  4. Step 4: Simplify right side
    713.53x = 444,907.65
  5. Step 5: Solve for x
    x = 444,907.65/713.53
  6. Step 6: Final answer
    x = 623.53

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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.