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Finding the Fourth Proportional to 1,553.86, 2,330.16 and 580.03

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Solution

The fourth proportional to 1,553.86, 2,330.16 and 580.03 is: 869.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,553.86 : 2,330.16 = 580.03 : x
  2. Step 2: Convert to fraction form
    1,553.86/2,330.16 = 580.03/x
  3. Step 3: Cross multiply
    1,553.86x = 2,330.16 × 580.03
  4. Step 4: Simplify right side
    1,553.86x = 1,351,562.70
  5. Step 5: Solve for x
    x = 1,351,562.70/1,553.86
  6. Step 6: Final answer
    x = 869.81

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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.