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Finding the Fourth Proportional to 1,689.30, 2,532.96 and 593.46

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Solution

The fourth proportional to 1,689.30, 2,532.96 and 593.46 is: 889.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.30 : 2,532.96 = 593.46 : x
  2. Step 2: Convert to fraction form
    1,689.30/2,532.96 = 593.46/x
  3. Step 3: Cross multiply
    1,689.30x = 2,532.96 × 593.46
  4. Step 4: Simplify right side
    1,689.30x = 1,503,210.44
  5. Step 5: Solve for x
    x = 1,503,210.44/1,689.30
  6. Step 6: Final answer
    x = 889.84

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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.