Home / 1,540.59-2,309.81-566.57

Finding the Fourth Proportional to 1,540.59, 2,309.81 and 566.57

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Solution

The fourth proportional to 1,540.59, 2,309.81 and 566.57 is: 849.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.59 : 2,309.81 = 566.57 : x
  2. Step 2: Convert to fraction form
    1,540.59/2,309.81 = 566.57/x
  3. Step 3: Cross multiply
    1,540.59x = 2,309.81 × 566.57
  4. Step 4: Simplify right side
    1,540.59x = 1,308,654.67
  5. Step 5: Solve for x
    x = 1,308,654.67/1,540.59
  6. Step 6: Final answer
    x = 849.45

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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.