Home / 1,209.33-1,814.15-429.18

Finding the Fourth Proportional to 1,209.33, 1,814.15 and 429.18

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Solution

The fourth proportional to 1,209.33, 1,814.15 and 429.18 is: 643.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.33 : 1,814.15 = 429.18 : x
  2. Step 2: Convert to fraction form
    1,209.33/1,814.15 = 429.18/x
  3. Step 3: Cross multiply
    1,209.33x = 1,814.15 × 429.18
  4. Step 4: Simplify right side
    1,209.33x = 778,594.75
  5. Step 5: Solve for x
    x = 778,594.75/1,209.33
  6. Step 6: Final answer
    x = 643.82

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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.