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Finding the Fourth Proportional to 2,230.56, 3,345.78 and 587.12

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Solution

The fourth proportional to 2,230.56, 3,345.78 and 587.12 is: 880.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,230.56 : 3,345.78 = 587.12 : x
  2. Step 2: Convert to fraction form
    2,230.56/3,345.78 = 587.12/x
  3. Step 3: Cross multiply
    2,230.56x = 3,345.78 × 587.12
  4. Step 4: Simplify right side
    2,230.56x = 1,964,374.35
  5. Step 5: Solve for x
    x = 1,964,374.35/2,230.56
  6. Step 6: Final answer
    x = 880.66

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1.5x scale

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.