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Finding the Fourth Proportional to 831.65, 1,246.38 and 420.56

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Solution

The fourth proportional to 831.65, 1,246.38 and 420.56 is: 630.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.65 : 1,246.38 = 420.56 : x
  2. Step 2: Convert to fraction form
    831.65/1,246.38 = 420.56/x
  3. Step 3: Cross multiply
    831.65x = 1,246.38 × 420.56
  4. Step 4: Simplify right side
    831.65x = 524,176.01
  5. Step 5: Solve for x
    x = 524,176.01/831.65
  6. Step 6: Final answer
    x = 630.29

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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.