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Finding the Fourth Proportional to 1,040.20, 1,559.88 and 390.58

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Solution

The fourth proportional to 1,040.20, 1,559.88 and 390.58 is: 585.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.20 : 1,559.88 = 390.58 : x
  2. Step 2: Convert to fraction form
    1,040.20/1,559.88 = 390.58/x
  3. Step 3: Cross multiply
    1,040.20x = 1,559.88 × 390.58
  4. Step 4: Simplify right side
    1,040.20x = 609,257.93
  5. Step 5: Solve for x
    x = 609,257.93/1,040.20
  6. Step 6: Final answer
    x = 585.71

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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.