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Finding the Fourth Proportional to 1,052.60, 1,451.93 and 831.47

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Solution

The fourth proportional to 1,052.60, 1,451.93 and 831.47 is: 1,146.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.60 : 1,451.93 = 831.47 : x
  2. Step 2: Convert to fraction form
    1,052.60/1,451.93 = 831.47/x
  3. Step 3: Cross multiply
    1,052.60x = 1,451.93 × 831.47
  4. Step 4: Simplify right side
    1,052.60x = 1,207,224.82
  5. Step 5: Solve for x
    x = 1,207,224.82/1,052.60
  6. Step 6: Final answer
    x = 1,146.90

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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.