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Finding the Fourth Proportional to 1,398.32, 1,929.53 and 831.08

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Solution

The fourth proportional to 1,398.32, 1,929.53 and 831.08 is: 1,146.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.32 : 1,929.53 = 831.08 : x
  2. Step 2: Convert to fraction form
    1,398.32/1,929.53 = 831.08/x
  3. Step 3: Cross multiply
    1,398.32x = 1,929.53 × 831.08
  4. Step 4: Simplify right side
    1,398.32x = 1,603,579.99
  5. Step 5: Solve for x
    x = 1,603,579.99/1,398.32
  6. Step 6: Final answer
    x = 1,146.79

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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.