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Finding the Fourth Proportional to 2,230.82, 3,345.94 and 587.50

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Solution

The fourth proportional to 2,230.82, 3,345.94 and 587.50 is: 881.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,230.82 : 3,345.94 = 587.50 : x
  2. Step 2: Convert to fraction form
    2,230.82/3,345.94 = 587.50/x
  3. Step 3: Cross multiply
    2,230.82x = 3,345.94 × 587.50
  4. Step 4: Simplify right side
    2,230.82x = 1,965,739.75
  5. Step 5: Solve for x
    x = 1,965,739.75/2,230.82
  6. Step 6: Final answer
    x = 881.17

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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.