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Finding the Fourth Proportional to 1,137.76, 1,569.90 and 765.34

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Solution

The fourth proportional to 1,137.76, 1,569.90 and 765.34 is: 1,056.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.76 : 1,569.90 = 765.34 : x
  2. Step 2: Convert to fraction form
    1,137.76/1,569.90 = 765.34/x
  3. Step 3: Cross multiply
    1,137.76x = 1,569.90 × 765.34
  4. Step 4: Simplify right side
    1,137.76x = 1,201,507.27
  5. Step 5: Solve for x
    x = 1,201,507.27/1,137.76
  6. Step 6: Final answer
    x = 1,056.03

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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.