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Finding the Fourth Proportional to 577.90, 866.85 and 334.30

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Solution

The fourth proportional to 577.90, 866.85 and 334.30 is: 501.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.90 : 866.85 = 334.30 : x
  2. Step 2: Convert to fraction form
    577.90/866.85 = 334.30/x
  3. Step 3: Cross multiply
    577.90x = 866.85 × 334.30
  4. Step 4: Simplify right side
    577.90x = 289,787.96
  5. Step 5: Solve for x
    x = 289,787.96/577.90
  6. Step 6: Final answer
    x = 501.45

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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.