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Finding the Fourth Proportional to 1,580.37, 2,369.19 and 849.10

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Solution

The fourth proportional to 1,580.37, 2,369.19 and 849.10 is: 1,272.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.37 : 2,369.19 = 849.10 : x
  2. Step 2: Convert to fraction form
    1,580.37/2,369.19 = 849.10/x
  3. Step 3: Cross multiply
    1,580.37x = 2,369.19 × 849.10
  4. Step 4: Simplify right side
    1,580.37x = 2,011,667.38
  5. Step 5: Solve for x
    x = 2,011,667.38/1,580.37
  6. Step 6: Final answer
    x = 1,272.91

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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.