Home / 1,559.85-2,341.19-830.04

Finding the Fourth Proportional to 1,559.85, 2,341.19 and 830.04

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Solution

The fourth proportional to 1,559.85, 2,341.19 and 830.04 is: 1,245.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,559.85 : 2,341.19 = 830.04 : x
  2. Step 2: Convert to fraction form
    1,559.85/2,341.19 = 830.04/x
  3. Step 3: Cross multiply
    1,559.85x = 2,341.19 × 830.04
  4. Step 4: Simplify right side
    1,559.85x = 1,943,281.35
  5. Step 5: Solve for x
    x = 1,943,281.35/1,559.85
  6. Step 6: Final answer
    x = 1,245.81

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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.