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Finding the Fourth Proportional to 674.76, 930.48 and 465.12

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Solution

The fourth proportional to 674.76, 930.48 and 465.12 is: 641.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.76 : 930.48 = 465.12 : x
  2. Step 2: Convert to fraction form
    674.76/930.48 = 465.12/x
  3. Step 3: Cross multiply
    674.76x = 930.48 × 465.12
  4. Step 4: Simplify right side
    674.76x = 432,784.86
  5. Step 5: Solve for x
    x = 432,784.86/674.76
  6. Step 6: Final answer
    x = 641.39

Related Problems

Find fourth proportional to 337.38, 465.24 and 232.56
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.