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Finding the Fourth Proportional to 831.51, 1,246.14 and 397.80

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Solution

The fourth proportional to 831.51, 1,246.14 and 397.80 is: 596.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.51 : 1,246.14 = 397.80 : x
  2. Step 2: Convert to fraction form
    831.51/1,246.14 = 397.80/x
  3. Step 3: Cross multiply
    831.51x = 1,246.14 × 397.80
  4. Step 4: Simplify right side
    831.51x = 495,714.49
  5. Step 5: Solve for x
    x = 495,714.49/831.51
  6. Step 6: Final answer
    x = 596.16

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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.