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Finding the Fourth Proportional to 831.40, 1,153.55 and 824.34

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Solution

The fourth proportional to 831.40, 1,153.55 and 824.34 is: 1,143.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.40 : 1,153.55 = 824.34 : x
  2. Step 2: Convert to fraction form
    831.40/1,153.55 = 824.34/x
  3. Step 3: Cross multiply
    831.40x = 1,153.55 × 824.34
  4. Step 4: Simplify right side
    831.40x = 950,917.41
  5. Step 5: Solve for x
    x = 950,917.41/831.40
  6. Step 6: Final answer
    x = 1,143.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.