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Finding the Fourth Proportional to 465.39, 701.24 and 386.01

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Solution

The fourth proportional to 465.39, 701.24 and 386.01 is: 581.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.39 : 701.24 = 386.01 : x
  2. Step 2: Convert to fraction form
    465.39/701.24 = 386.01/x
  3. Step 3: Cross multiply
    465.39x = 701.24 × 386.01
  4. Step 4: Simplify right side
    465.39x = 270,683.72
  5. Step 5: Solve for x
    x = 270,683.72/465.39
  6. Step 6: Final answer
    x = 581.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.