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Finding the Fourth Proportional to 662.25, 913.59 and 465.87

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Solution

The fourth proportional to 662.25, 913.59 and 465.87 is: 642.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.25 : 913.59 = 465.87 : x
  2. Step 2: Convert to fraction form
    662.25/913.59 = 465.87/x
  3. Step 3: Cross multiply
    662.25x = 913.59 × 465.87
  4. Step 4: Simplify right side
    662.25x = 425,614.17
  5. Step 5: Solve for x
    x = 425,614.17/662.25
  6. Step 6: Final answer
    x = 642.68

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Double scale
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Similar ratio
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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.