Home / 1,214.19-1,821.74-434.16

Finding the Fourth Proportional to 1,214.19, 1,821.74 and 434.16

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Solution

The fourth proportional to 1,214.19, 1,821.74 and 434.16 is: 651.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.19 : 1,821.74 = 434.16 : x
  2. Step 2: Convert to fraction form
    1,214.19/1,821.74 = 434.16/x
  3. Step 3: Cross multiply
    1,214.19x = 1,821.74 × 434.16
  4. Step 4: Simplify right side
    1,214.19x = 790,924.47
  5. Step 5: Solve for x
    x = 790,924.47/1,214.19
  6. Step 6: Final answer
    x = 651.40

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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.