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Finding the Fourth Proportional to 412.74, 568.83 and 386.76

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Solution

The fourth proportional to 412.74, 568.83 and 386.76 is: 533.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.74 : 568.83 = 386.76 : x
  2. Step 2: Convert to fraction form
    412.74/568.83 = 386.76/x
  3. Step 3: Cross multiply
    412.74x = 568.83 × 386.76
  4. Step 4: Simplify right side
    412.74x = 220,000.69
  5. Step 5: Solve for x
    x = 220,000.69/412.74
  6. Step 6: Final answer
    x = 533.02

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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.