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Finding the Fourth Proportional to 577.59, 864.25 and 346.62

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Solution

The fourth proportional to 577.59, 864.25 and 346.62 is: 518.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.59 : 864.25 = 346.62 : x
  2. Step 2: Convert to fraction form
    577.59/864.25 = 346.62/x
  3. Step 3: Cross multiply
    577.59x = 864.25 × 346.62
  4. Step 4: Simplify right side
    577.59x = 299,561.15
  5. Step 5: Solve for x
    x = 299,561.15/577.59
  6. Step 6: Final answer
    x = 518.64

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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.