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Finding the Fourth Proportional to 1,586.61, 2,379.92 and 612.81

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Solution

The fourth proportional to 1,586.61, 2,379.92 and 612.81 is: 919.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.61 : 2,379.92 = 612.81 : x
  2. Step 2: Convert to fraction form
    1,586.61/2,379.92 = 612.81/x
  3. Step 3: Cross multiply
    1,586.61x = 2,379.92 × 612.81
  4. Step 4: Simplify right side
    1,586.61x = 1,458,435.71
  5. Step 5: Solve for x
    x = 1,458,435.71/1,586.61
  6. Step 6: Final answer
    x = 919.22

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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.