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Finding the Fourth Proportional to 831.72, 1,246.20 and 506.16

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Solution

The fourth proportional to 831.72, 1,246.20 and 506.16 is: 758.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.72 : 1,246.20 = 506.16 : x
  2. Step 2: Convert to fraction form
    831.72/1,246.20 = 506.16/x
  3. Step 3: Cross multiply
    831.72x = 1,246.20 × 506.16
  4. Step 4: Simplify right side
    831.72x = 630,776.59
  5. Step 5: Solve for x
    x = 630,776.59/831.72
  6. Step 6: Final answer
    x = 758.40

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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.