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Finding the Fourth Proportional to 701.48, 968.17 and 465.43

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Solution

The fourth proportional to 701.48, 968.17 and 465.43 is: 642.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.48 : 968.17 = 465.43 : x
  2. Step 2: Convert to fraction form
    701.48/968.17 = 465.43/x
  3. Step 3: Cross multiply
    701.48x = 968.17 × 465.43
  4. Step 4: Simplify right side
    701.48x = 450,615.36
  5. Step 5: Solve for x
    x = 450,615.36/701.48
  6. Step 6: Final answer
    x = 642.38

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Half scale
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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.