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Finding the Fourth Proportional to 591.05, 885.43 and 460.43

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Solution

The fourth proportional to 591.05, 885.43 and 460.43 is: 689.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.05 : 885.43 = 460.43 : x
  2. Step 2: Convert to fraction form
    591.05/885.43 = 460.43/x
  3. Step 3: Cross multiply
    591.05x = 885.43 × 460.43
  4. Step 4: Simplify right side
    591.05x = 407,682.98
  5. Step 5: Solve for x
    x = 407,682.98/591.05
  6. Step 6: Final answer
    x = 689.76

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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.