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Finding the Fourth Proportional to 1,002.20, 1,497.20 and 838.17

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Solution

The fourth proportional to 1,002.20, 1,497.20 and 838.17 is: 1,252.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.20 : 1,497.20 = 838.17 : x
  2. Step 2: Convert to fraction form
    1,002.20/1,497.20 = 838.17/x
  3. Step 3: Cross multiply
    1,002.20x = 1,497.20 × 838.17
  4. Step 4: Simplify right side
    1,002.20x = 1,254,903.93
  5. Step 5: Solve for x
    x = 1,254,903.93/1,002.20
  6. Step 6: Final answer
    x = 1,252.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.