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Finding the Fourth Proportional to 1,359.55, 2,040.12 and 590.05

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Solution

The fourth proportional to 1,359.55, 2,040.12 and 590.05 is: 885.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,359.55 : 2,040.12 = 590.05 : x
  2. Step 2: Convert to fraction form
    1,359.55/2,040.12 = 590.05/x
  3. Step 3: Cross multiply
    1,359.55x = 2,040.12 × 590.05
  4. Step 4: Simplify right side
    1,359.55x = 1,203,772.81
  5. Step 5: Solve for x
    x = 1,203,772.81/1,359.55
  6. Step 6: Final answer
    x = 885.42

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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.