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Finding the Fourth Proportional to 1,495.01, 2,063.09 and 831.86

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Solution

The fourth proportional to 1,495.01, 2,063.09 and 831.86 is: 1,147.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,495.01 : 2,063.09 = 831.86 : x
  2. Step 2: Convert to fraction form
    1,495.01/2,063.09 = 831.86/x
  3. Step 3: Cross multiply
    1,495.01x = 2,063.09 × 831.86
  4. Step 4: Simplify right side
    1,495.01x = 1,716,193.81
  5. Step 5: Solve for x
    x = 1,716,193.81/1,495.01
  6. Step 6: Final answer
    x = 1,147.95

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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.