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Finding the Fourth Proportional to 701.65, 968.45 and 465.48

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Solution

The fourth proportional to 701.65, 968.45 and 465.48 is: 642.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.65 : 968.45 = 465.48 : x
  2. Step 2: Convert to fraction form
    701.65/968.45 = 465.48/x
  3. Step 3: Cross multiply
    701.65x = 968.45 × 465.48
  4. Step 4: Simplify right side
    701.65x = 450,794.11
  5. Step 5: Solve for x
    x = 450,794.11/701.65
  6. Step 6: Final answer
    x = 642.48

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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.