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Finding the Fourth Proportional to 1,354.85, 1,869.78 and 765.17

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Solution

The fourth proportional to 1,354.85, 1,869.78 and 765.17 is: 1,055.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.85 : 1,869.78 = 765.17 : x
  2. Step 2: Convert to fraction form
    1,354.85/1,869.78 = 765.17/x
  3. Step 3: Cross multiply
    1,354.85x = 1,869.78 × 765.17
  4. Step 4: Simplify right side
    1,354.85x = 1,430,690.21
  5. Step 5: Solve for x
    x = 1,430,690.21/1,354.85
  6. Step 6: Final answer
    x = 1,055.98

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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.