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Finding the Fourth Proportional to 713.67, 985.01 and 451.50

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Solution

The fourth proportional to 713.67, 985.01 and 451.50 is: 623.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.67 : 985.01 = 451.50 : x
  2. Step 2: Convert to fraction form
    713.67/985.01 = 451.50/x
  3. Step 3: Cross multiply
    713.67x = 985.01 × 451.50
  4. Step 4: Simplify right side
    713.67x = 444,729.76
  5. Step 5: Solve for x
    x = 444,729.76/713.67
  6. Step 6: Final answer
    x = 623.16

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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.