Home / 1,078.18-1,618.89-430.18

Finding the Fourth Proportional to 1,078.18, 1,618.89 and 430.18

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Solution

The fourth proportional to 1,078.18, 1,618.89 and 430.18 is: 645.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.18 : 1,618.89 = 430.18 : x
  2. Step 2: Convert to fraction form
    1,078.18/1,618.89 = 430.18/x
  3. Step 3: Cross multiply
    1,078.18x = 1,618.89 × 430.18
  4. Step 4: Simplify right side
    1,078.18x = 696,408.44
  5. Step 5: Solve for x
    x = 696,408.44/1,078.18
  6. Step 6: Final answer
    x = 645.91

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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.