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Finding the Fourth Proportional to 713.93, 984.66 and 465.33

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Solution

The fourth proportional to 713.93, 984.66 and 465.33 is: 641.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.93 : 984.66 = 465.33 : x
  2. Step 2: Convert to fraction form
    713.93/984.66 = 465.33/x
  3. Step 3: Cross multiply
    713.93x = 984.66 × 465.33
  4. Step 4: Simplify right side
    713.93x = 458,191.84
  5. Step 5: Solve for x
    x = 458,191.84/713.93
  6. Step 6: Final answer
    x = 641.79

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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.