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Finding the Fourth Proportional to 1,589.69, 2,385.61 and 563.69

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Solution

The fourth proportional to 1,589.69, 2,385.61 and 563.69 is: 845.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.69 : 2,385.61 = 563.69 : x
  2. Step 2: Convert to fraction form
    1,589.69/2,385.61 = 563.69/x
  3. Step 3: Cross multiply
    1,589.69x = 2,385.61 × 563.69
  4. Step 4: Simplify right side
    1,589.69x = 1,344,744.50
  5. Step 5: Solve for x
    x = 1,344,744.50/1,589.69
  6. Step 6: Final answer
    x = 845.92

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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.