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Finding the Fourth Proportional to 831.84, 1,246.10 and 612.36

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Solution

The fourth proportional to 831.84, 1,246.10 and 612.36 is: 917.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.84 : 1,246.10 = 612.36 : x
  2. Step 2: Convert to fraction form
    831.84/1,246.10 = 612.36/x
  3. Step 3: Cross multiply
    831.84x = 1,246.10 × 612.36
  4. Step 4: Simplify right side
    831.84x = 763,061.80
  5. Step 5: Solve for x
    x = 763,061.80/831.84
  6. Step 6: Final answer
    x = 917.32

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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.