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Finding the Fourth Proportional to 1,354.36, 1,869.13 and 765.01

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Solution

The fourth proportional to 1,354.36, 1,869.13 and 765.01 is: 1,055.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.36 : 1,869.13 = 765.01 : x
  2. Step 2: Convert to fraction form
    1,354.36/1,869.13 = 765.01/x
  3. Step 3: Cross multiply
    1,354.36x = 1,869.13 × 765.01
  4. Step 4: Simplify right side
    1,354.36x = 1,429,903.14
  5. Step 5: Solve for x
    x = 1,429,903.14/1,354.36
  6. Step 6: Final answer
    x = 1,055.78

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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.