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Finding the Fourth Proportional to 1,689.21, 2,532.78 and 593.70

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Solution

The fourth proportional to 1,689.21, 2,532.78 and 593.70 is: 890.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.21 : 2,532.78 = 593.70 : x
  2. Step 2: Convert to fraction form
    1,689.21/2,532.78 = 593.70/x
  3. Step 3: Cross multiply
    1,689.21x = 2,532.78 × 593.70
  4. Step 4: Simplify right side
    1,689.21x = 1,503,711.49
  5. Step 5: Solve for x
    x = 1,503,711.49/1,689.21
  6. Step 6: Final answer
    x = 890.19

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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.