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Finding the Fourth Proportional to 577.24, 866.46 and 386.20

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Solution

The fourth proportional to 577.24, 866.46 and 386.20 is: 579.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.24 : 866.46 = 386.20 : x
  2. Step 2: Convert to fraction form
    577.24/866.46 = 386.20/x
  3. Step 3: Cross multiply
    577.24x = 866.46 × 386.20
  4. Step 4: Simplify right side
    577.24x = 334,626.85
  5. Step 5: Solve for x
    x = 334,626.85/577.24
  6. Step 6: Final answer
    x = 579.70

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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.