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Finding the Fourth Proportional to 713.85, 985.19 and 451.89

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Solution

The fourth proportional to 713.85, 985.19 and 451.89 is: 623.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.85 : 985.19 = 451.89 : x
  2. Step 2: Convert to fraction form
    713.85/985.19 = 451.89/x
  3. Step 3: Cross multiply
    713.85x = 985.19 × 451.89
  4. Step 4: Simplify right side
    713.85x = 445,195.25
  5. Step 5: Solve for x
    x = 445,195.25/713.85
  6. Step 6: Final answer
    x = 623.65

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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.