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Finding the Fourth Proportional to 1,003.37, 1,504.90 and 353.95

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Solution

The fourth proportional to 1,003.37, 1,504.90 and 353.95 is: 530.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.37 : 1,504.90 = 353.95 : x
  2. Step 2: Convert to fraction form
    1,003.37/1,504.90 = 353.95/x
  3. Step 3: Cross multiply
    1,003.37x = 1,504.90 × 353.95
  4. Step 4: Simplify right side
    1,003.37x = 532,662.51
  5. Step 5: Solve for x
    x = 532,662.51/1,003.37
  6. Step 6: Final answer
    x = 530.87

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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.