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Finding the Fourth Proportional to 2,230.26, 3,345.60 and 586.81

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Solution

The fourth proportional to 2,230.26, 3,345.60 and 586.81 is: 880.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,230.26 : 3,345.60 = 586.81 : x
  2. Step 2: Convert to fraction form
    2,230.26/3,345.60 = 586.81/x
  3. Step 3: Cross multiply
    2,230.26x = 3,345.60 × 586.81
  4. Step 4: Simplify right side
    2,230.26x = 1,963,214.81
  5. Step 5: Solve for x
    x = 1,963,214.81/2,230.26
  6. Step 6: Final answer
    x = 880.26

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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.