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Finding the Fourth Proportional to 577.20, 866.10 and 346.55

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Solution

The fourth proportional to 577.20, 866.10 and 346.55 is: 520.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.20 : 866.10 = 346.55 : x
  2. Step 2: Convert to fraction form
    577.20/866.10 = 346.55/x
  3. Step 3: Cross multiply
    577.20x = 866.10 × 346.55
  4. Step 4: Simplify right side
    577.20x = 300,140.89
  5. Step 5: Solve for x
    x = 300,140.89/577.20
  6. Step 6: Final answer
    x = 520.00

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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.