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Finding the Fourth Proportional to 465.57, 641.02 and 354.69

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Solution

The fourth proportional to 465.57, 641.02 and 354.69 is: 488.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.57 : 641.02 = 354.69 : x
  2. Step 2: Convert to fraction form
    465.57/641.02 = 354.69/x
  3. Step 3: Cross multiply
    465.57x = 641.02 × 354.69
  4. Step 4: Simplify right side
    465.57x = 227,363.38
  5. Step 5: Solve for x
    x = 227,363.38/465.57
  6. Step 6: Final answer
    x = 488.35

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Double scale
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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.