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Finding the Fourth Proportional to 831.79, 1,248.45 and 421.22

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Solution

The fourth proportional to 831.79, 1,248.45 and 421.22 is: 632.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.79 : 1,248.45 = 421.22 : x
  2. Step 2: Convert to fraction form
    831.79/1,248.45 = 421.22/x
  3. Step 3: Cross multiply
    831.79x = 1,248.45 × 421.22
  4. Step 4: Simplify right side
    831.79x = 525,864.81
  5. Step 5: Solve for x
    x = 525,864.81/831.79
  6. Step 6: Final answer
    x = 632.21

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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.