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Finding the Fourth Proportional to 1,813.76, 2,719.93 and 643.31

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Solution

The fourth proportional to 1,813.76, 2,719.93 and 643.31 is: 964.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,813.76 : 2,719.93 = 643.31 : x
  2. Step 2: Convert to fraction form
    1,813.76/2,719.93 = 643.31/x
  3. Step 3: Cross multiply
    1,813.76x = 2,719.93 × 643.31
  4. Step 4: Simplify right side
    1,813.76x = 1,749,758.17
  5. Step 5: Solve for x
    x = 1,749,758.17/1,813.76
  6. Step 6: Final answer
    x = 964.71

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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.