Home / 1,214.94-1,822.51-434.86

Finding the Fourth Proportional to 1,214.94, 1,822.51 and 434.86

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Solution

The fourth proportional to 1,214.94, 1,822.51 and 434.86 is: 652.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.94 : 1,822.51 = 434.86 : x
  2. Step 2: Convert to fraction form
    1,214.94/1,822.51 = 434.86/x
  3. Step 3: Cross multiply
    1,214.94x = 1,822.51 × 434.86
  4. Step 4: Simplify right side
    1,214.94x = 792,536.70
  5. Step 5: Solve for x
    x = 792,536.70/1,214.94
  6. Step 6: Final answer
    x = 652.33

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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.