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Finding the Fourth Proportional to 1,420.85, 1,960.76 and 831.26

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Solution

The fourth proportional to 1,420.85, 1,960.76 and 831.26 is: 1,147.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.85 : 1,960.76 = 831.26 : x
  2. Step 2: Convert to fraction form
    1,420.85/1,960.76 = 831.26/x
  3. Step 3: Cross multiply
    1,420.85x = 1,960.76 × 831.26
  4. Step 4: Simplify right side
    1,420.85x = 1,629,887.40
  5. Step 5: Solve for x
    x = 1,629,887.40/1,420.85
  6. Step 6: Final answer
    x = 1,147.13

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1.5x scale

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.