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Finding the Fourth Proportional to 920.08, 1,378.23 and 765.50

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Solution

The fourth proportional to 920.08, 1,378.23 and 765.50 is: 1,146.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.08 : 1,378.23 = 765.50 : x
  2. Step 2: Convert to fraction form
    920.08/1,378.23 = 765.50/x
  3. Step 3: Cross multiply
    920.08x = 1,378.23 × 765.50
  4. Step 4: Simplify right side
    920.08x = 1,055,041.24
  5. Step 5: Solve for x
    x = 1,055,041.24/920.08
  6. Step 6: Final answer
    x = 1,146.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.