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Finding the Fourth Proportional to 1,465.81, 2,195.81 and 771.43

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Solution

The fourth proportional to 1,465.81, 2,195.81 and 771.43 is: 1,155.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.81 : 2,195.81 = 771.43 : x
  2. Step 2: Convert to fraction form
    1,465.81/2,195.81 = 771.43/x
  3. Step 3: Cross multiply
    1,465.81x = 2,195.81 × 771.43
  4. Step 4: Simplify right side
    1,465.81x = 1,693,913.71
  5. Step 5: Solve for x
    x = 1,693,913.71/1,465.81
  6. Step 6: Final answer
    x = 1,155.62

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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.