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Finding the Fourth Proportional to 1,923.66, 2,885.49 and 462.81

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Solution

The fourth proportional to 1,923.66, 2,885.49 and 462.81 is: 694.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,923.66 : 2,885.49 = 462.81 : x
  2. Step 2: Convert to fraction form
    1,923.66/2,885.49 = 462.81/x
  3. Step 3: Cross multiply
    1,923.66x = 2,885.49 × 462.81
  4. Step 4: Simplify right side
    1,923.66x = 1,335,430.32
  5. Step 5: Solve for x
    x = 1,335,430.32/1,923.66
  6. Step 6: Final answer
    x = 694.21

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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.