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Finding the Fourth Proportional to 1,003.24, 1,504.54 and 319.08

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Solution

The fourth proportional to 1,003.24, 1,504.54 and 319.08 is: 478.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.24 : 1,504.54 = 319.08 : x
  2. Step 2: Convert to fraction form
    1,003.24/1,504.54 = 319.08/x
  3. Step 3: Cross multiply
    1,003.24x = 1,504.54 × 319.08
  4. Step 4: Simplify right side
    1,003.24x = 480,068.62
  5. Step 5: Solve for x
    x = 480,068.62/1,003.24
  6. Step 6: Final answer
    x = 478.52

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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.