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Finding the Fourth Proportional to 2,230.12, 3,345.04 and 586.77

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Solution

The fourth proportional to 2,230.12, 3,345.04 and 586.77 is: 880.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,230.12 : 3,345.04 = 586.77 : x
  2. Step 2: Convert to fraction form
    2,230.12/3,345.04 = 586.77/x
  3. Step 3: Cross multiply
    2,230.12x = 3,345.04 × 586.77
  4. Step 4: Simplify right side
    2,230.12x = 1,962,769.12
  5. Step 5: Solve for x
    x = 1,962,769.12/2,230.12
  6. Step 6: Final answer
    x = 880.12

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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.