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Finding the Fourth Proportional to 676.76, 933.69 and 411.09

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Solution

The fourth proportional to 676.76, 933.69 and 411.09 is: 567.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.76 : 933.69 = 411.09 : x
  2. Step 2: Convert to fraction form
    676.76/933.69 = 411.09/x
  3. Step 3: Cross multiply
    676.76x = 933.69 × 411.09
  4. Step 4: Simplify right side
    676.76x = 383,828.24
  5. Step 5: Solve for x
    x = 383,828.24/676.76
  6. Step 6: Final answer
    x = 567.16

Related Problems

Find fourth proportional to 338.38, 466.84 and 205.54
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.