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Finding the Fourth Proportional to 713.73, 984.72 and 465.39

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Solution

The fourth proportional to 713.73, 984.72 and 465.39 is: 642.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.73 : 984.72 = 465.39 : x
  2. Step 2: Convert to fraction form
    713.73/984.72 = 465.39/x
  3. Step 3: Cross multiply
    713.73x = 984.72 × 465.39
  4. Step 4: Simplify right side
    713.73x = 458,278.84
  5. Step 5: Solve for x
    x = 458,278.84/713.73
  6. Step 6: Final answer
    x = 642.09

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Double scale
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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.