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Finding the Fourth Proportional to 1,129.91, 1,698.11 and 553.19

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Solution

The fourth proportional to 1,129.91, 1,698.11 and 553.19 is: 831.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129.91 : 1,698.11 = 553.19 : x
  2. Step 2: Convert to fraction form
    1,129.91/1,698.11 = 553.19/x
  3. Step 3: Cross multiply
    1,129.91x = 1,698.11 × 553.19
  4. Step 4: Simplify right side
    1,129.91x = 939,374.70
  5. Step 5: Solve for x
    x = 939,374.70/1,129.91
  6. Step 6: Final answer
    x = 831.37

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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.