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Finding the Fourth Proportional to 1,652.75, 2,477.28 and 831.74

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Solution

The fourth proportional to 1,652.75, 2,477.28 and 831.74 is: 1,246.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652.75 : 2,477.28 = 831.74 : x
  2. Step 2: Convert to fraction form
    1,652.75/2,477.28 = 831.74/x
  3. Step 3: Cross multiply
    1,652.75x = 2,477.28 × 831.74
  4. Step 4: Simplify right side
    1,652.75x = 2,060,452.87
  5. Step 5: Solve for x
    x = 2,060,452.87/1,652.75
  6. Step 6: Final answer
    x = 1,246.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.