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Finding the Fourth Proportional to 662.26, 913.61 and 465.88

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Solution

The fourth proportional to 662.26, 913.61 and 465.88 is: 642.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.26 : 913.61 = 465.88 : x
  2. Step 2: Convert to fraction form
    662.26/913.61 = 465.88/x
  3. Step 3: Cross multiply
    662.26x = 913.61 × 465.88
  4. Step 4: Simplify right side
    662.26x = 425,632.63
  5. Step 5: Solve for x
    x = 425,632.63/662.26
  6. Step 6: Final answer
    x = 642.70

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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.