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Finding the Fourth Proportional to 831.77, 1,252.27 and 734.83

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Solution

The fourth proportional to 831.77, 1,252.27 and 734.83 is: 1,106.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.77 : 1,252.27 = 734.83 : x
  2. Step 2: Convert to fraction form
    831.77/1,252.27 = 734.83/x
  3. Step 3: Cross multiply
    831.77x = 1,252.27 × 734.83
  4. Step 4: Simplify right side
    831.77x = 920,203.35
  5. Step 5: Solve for x
    x = 920,203.35/831.77
  6. Step 6: Final answer
    x = 1,106.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.