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Finding the Fourth Proportional to 831.04, 1,245.36 and 541.76

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Solution

The fourth proportional to 831.04, 1,245.36 and 541.76 is: 811.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.04 : 1,245.36 = 541.76 : x
  2. Step 2: Convert to fraction form
    831.04/1,245.36 = 541.76/x
  3. Step 3: Cross multiply
    831.04x = 1,245.36 × 541.76
  4. Step 4: Simplify right side
    831.04x = 674,686.23
  5. Step 5: Solve for x
    x = 674,686.23/831.04
  6. Step 6: Final answer
    x = 811.86

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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.