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Finding the Fourth Proportional to 1,337.03, 2,003.88 and 643.52

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Solution

The fourth proportional to 1,337.03, 2,003.88 and 643.52 is: 964.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,337.03 : 2,003.88 = 643.52 : x
  2. Step 2: Convert to fraction form
    1,337.03/2,003.88 = 643.52/x
  3. Step 3: Cross multiply
    1,337.03x = 2,003.88 × 643.52
  4. Step 4: Simplify right side
    1,337.03x = 1,289,525.23
  5. Step 5: Solve for x
    x = 1,289,525.23/1,337.03
  6. Step 6: Final answer
    x = 964.47

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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.