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Finding the Fourth Proportional to 1,051.13, 1,451.37 and 831.21

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Solution

The fourth proportional to 1,051.13, 1,451.37 and 831.21 is: 1,147.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.13 : 1,451.37 = 831.21 : x
  2. Step 2: Convert to fraction form
    1,051.13/1,451.37 = 831.21/x
  3. Step 3: Cross multiply
    1,051.13x = 1,451.37 × 831.21
  4. Step 4: Simplify right side
    1,051.13x = 1,206,393.26
  5. Step 5: Solve for x
    x = 1,206,393.26/1,051.13
  6. Step 6: Final answer
    x = 1,147.72

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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.