Home / 1,214.85-1,822.31-434.97

Finding the Fourth Proportional to 1,214.85, 1,822.31 and 434.97

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Solution

The fourth proportional to 1,214.85, 1,822.31 and 434.97 is: 652.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.85 : 1,822.31 = 434.97 : x
  2. Step 2: Convert to fraction form
    1,214.85/1,822.31 = 434.97/x
  3. Step 3: Cross multiply
    1,214.85x = 1,822.31 × 434.97
  4. Step 4: Simplify right side
    1,214.85x = 792,648.01
  5. Step 5: Solve for x
    x = 792,648.01/1,214.85
  6. Step 6: Final answer
    x = 652.47

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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.