Home / 1,537.15-2,305.70-382.90

Finding the Fourth Proportional to 1,537.15, 2,305.70 and 382.90

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Solution

The fourth proportional to 1,537.15, 2,305.70 and 382.90 is: 574.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537.15 : 2,305.70 = 382.90 : x
  2. Step 2: Convert to fraction form
    1,537.15/2,305.70 = 382.90/x
  3. Step 3: Cross multiply
    1,537.15x = 2,305.70 × 382.90
  4. Step 4: Simplify right side
    1,537.15x = 882,850.61
  5. Step 5: Solve for x
    x = 882,850.61/1,537.15
  6. Step 6: Final answer
    x = 574.34

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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.