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Finding the Fourth Proportional to 1,002.19, 1,504.91 and 619.87

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Solution

The fourth proportional to 1,002.19, 1,504.91 and 619.87 is: 930.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.19 : 1,504.91 = 619.87 : x
  2. Step 2: Convert to fraction form
    1,002.19/1,504.91 = 619.87/x
  3. Step 3: Cross multiply
    1,002.19x = 1,504.91 × 619.87
  4. Step 4: Simplify right side
    1,002.19x = 932,848.56
  5. Step 5: Solve for x
    x = 932,848.56/1,002.19
  6. Step 6: Final answer
    x = 930.81

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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.