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Finding the Fourth Proportional to 1,349.83, 1,862.85 and 819.09

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Solution

The fourth proportional to 1,349.83, 1,862.85 and 819.09 is: 1,130.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,349.83 : 1,862.85 = 819.09 : x
  2. Step 2: Convert to fraction form
    1,349.83/1,862.85 = 819.09/x
  3. Step 3: Cross multiply
    1,349.83x = 1,862.85 × 819.09
  4. Step 4: Simplify right side
    1,349.83x = 1,525,841.81
  5. Step 5: Solve for x
    x = 1,525,841.81/1,349.83
  6. Step 6: Final answer
    x = 1,130.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.