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Finding the Fourth Proportional to 2,330.23, 3,495.47 and 770.38

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Solution

The fourth proportional to 2,330.23, 3,495.47 and 770.38 is: 1,155.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,330.23 : 3,495.47 = 770.38 : x
  2. Step 2: Convert to fraction form
    2,330.23/3,495.47 = 770.38/x
  3. Step 3: Cross multiply
    2,330.23x = 3,495.47 × 770.38
  4. Step 4: Simplify right side
    2,330.23x = 2,692,840.18
  5. Step 5: Solve for x
    x = 2,692,840.18/2,330.23
  6. Step 6: Final answer
    x = 1,155.61

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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.