Home / 1,605.81-2,409.40-566.55

Finding the Fourth Proportional to 1,605.81, 2,409.40 and 566.55

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Solution

The fourth proportional to 1,605.81, 2,409.40 and 566.55 is: 850.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.81 : 2,409.40 = 566.55 : x
  2. Step 2: Convert to fraction form
    1,605.81/2,409.40 = 566.55/x
  3. Step 3: Cross multiply
    1,605.81x = 2,409.40 × 566.55
  4. Step 4: Simplify right side
    1,605.81x = 1,365,040.96
  5. Step 5: Solve for x
    x = 1,365,040.96/1,605.81
  6. Step 6: Final answer
    x = 850.07

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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.