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Finding the Fourth Proportional to 578.67, 868.11 and 286.21

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Solution

The fourth proportional to 578.67, 868.11 and 286.21 is: 429.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.67 : 868.11 = 286.21 : x
  2. Step 2: Convert to fraction form
    578.67/868.11 = 286.21/x
  3. Step 3: Cross multiply
    578.67x = 868.11 × 286.21
  4. Step 4: Simplify right side
    578.67x = 248,461.76
  5. Step 5: Solve for x
    x = 248,461.76/578.67
  6. Step 6: Final answer
    x = 429.37

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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.