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Finding the Fourth Proportional to 1,756.12, 2,632.20 and 830.80

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Solution

The fourth proportional to 1,756.12, 2,632.20 and 830.80 is: 1,245.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,756.12 : 2,632.20 = 830.80 : x
  2. Step 2: Convert to fraction form
    1,756.12/2,632.20 = 830.80/x
  3. Step 3: Cross multiply
    1,756.12x = 2,632.20 × 830.80
  4. Step 4: Simplify right side
    1,756.12x = 2,186,831.76
  5. Step 5: Solve for x
    x = 2,186,831.76/1,756.12
  6. Step 6: Final answer
    x = 1,245.26

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