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Finding the Fourth Proportional to 1,337.31, 2,004.98 and 643.95

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Solution

The fourth proportional to 1,337.31, 2,004.98 and 643.95 is: 965.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,337.31 : 2,004.98 = 643.95 : x
  2. Step 2: Convert to fraction form
    1,337.31/2,004.98 = 643.95/x
  3. Step 3: Cross multiply
    1,337.31x = 2,004.98 × 643.95
  4. Step 4: Simplify right side
    1,337.31x = 1,291,103.65
  5. Step 5: Solve for x
    x = 1,291,103.65/1,337.31
  6. Step 6: Final answer
    x = 965.45

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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.