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Finding the Fourth Proportional to 713.90, 984.90 and 465.32

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Solution

The fourth proportional to 713.90, 984.90 and 465.32 is: 641.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.90 : 984.90 = 465.32 : x
  2. Step 2: Convert to fraction form
    713.90/984.90 = 465.32/x
  3. Step 3: Cross multiply
    713.90x = 984.90 × 465.32
  4. Step 4: Simplify right side
    713.90x = 458,293.67
  5. Step 5: Solve for x
    x = 458,293.67/713.90
  6. Step 6: Final answer
    x = 641.96

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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.