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Finding the Fourth Proportional to 1,537.83, 2,305.03 and 613.15

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Solution

The fourth proportional to 1,537.83, 2,305.03 and 613.15 is: 919.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537.83 : 2,305.03 = 613.15 : x
  2. Step 2: Convert to fraction form
    1,537.83/2,305.03 = 613.15/x
  3. Step 3: Cross multiply
    1,537.83x = 2,305.03 × 613.15
  4. Step 4: Simplify right side
    1,537.83x = 1,413,317.62
  5. Step 5: Solve for x
    x = 1,413,317.62/1,537.83
  6. Step 6: Final answer
    x = 919.03

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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.