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Finding the Fourth Proportional to 1,298.23, 1,792.02 and 1,002.99

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Solution

The fourth proportional to 1,298.23, 1,792.02 and 1,002.99 is: 1,384.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.23 : 1,792.02 = 1,002.99 : x
  2. Step 2: Convert to fraction form
    1,298.23/1,792.02 = 1,002.99/x
  3. Step 3: Cross multiply
    1,298.23x = 1,792.02 × 1,002.99
  4. Step 4: Simplify right side
    1,298.23x = 1,797,378.14
  5. Step 5: Solve for x
    x = 1,797,378.14/1,298.23
  6. Step 6: Final answer
    x = 1,384.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.