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Finding the Fourth Proportional to 1,209.69, 1,814.85 and 429.66

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Solution

The fourth proportional to 1,209.69, 1,814.85 and 429.66 is: 644.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.69 : 1,814.85 = 429.66 : x
  2. Step 2: Convert to fraction form
    1,209.69/1,814.85 = 429.66/x
  3. Step 3: Cross multiply
    1,209.69x = 1,814.85 × 429.66
  4. Step 4: Simplify right side
    1,209.69x = 779,768.45
  5. Step 5: Solve for x
    x = 779,768.45/1,209.69
  6. Step 6: Final answer
    x = 644.60

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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.