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Finding the Fourth Proportional to 919.08, 1,372.85 and 765.15

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Solution

The fourth proportional to 919.08, 1,372.85 and 765.15 is: 1,142.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.08 : 1,372.85 = 765.15 : x
  2. Step 2: Convert to fraction form
    919.08/1,372.85 = 765.15/x
  3. Step 3: Cross multiply
    919.08x = 1,372.85 × 765.15
  4. Step 4: Simplify right side
    919.08x = 1,050,430.07
  5. Step 5: Solve for x
    x = 1,050,430.07/919.08
  6. Step 6: Final answer
    x = 1,142.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.