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Finding the Fourth Proportional to 674.69, 930.49 and 465.20

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Solution

The fourth proportional to 674.69, 930.49 and 465.20 is: 641.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.69 : 930.49 = 465.20 : x
  2. Step 2: Convert to fraction form
    674.69/930.49 = 465.20/x
  3. Step 3: Cross multiply
    674.69x = 930.49 × 465.20
  4. Step 4: Simplify right side
    674.69x = 432,861.62
  5. Step 5: Solve for x
    x = 432,861.62/674.69
  6. Step 6: Final answer
    x = 641.58

Related Problems

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Half scale
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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.