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Finding the Fourth Proportional to 1,553.60, 2,329.17 and 1,065.20

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Solution

The fourth proportional to 1,553.60, 2,329.17 and 1,065.20 is: 1,596.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,553.60 : 2,329.17 = 1,065.20 : x
  2. Step 2: Convert to fraction form
    1,553.60/2,329.17 = 1,065.20/x
  3. Step 3: Cross multiply
    1,553.60x = 2,329.17 × 1,065.20
  4. Step 4: Simplify right side
    1,553.60x = 2,481,031.88
  5. Step 5: Solve for x
    x = 2,481,031.88/1,553.60
  6. Step 6: Final answer
    x = 1,596.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.