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Finding the Fourth Proportional to 1,220.84, 1,831.60 and 572.12

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Solution

The fourth proportional to 1,220.84, 1,831.60 and 572.12 is: 858.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.84 : 1,831.60 = 572.12 : x
  2. Step 2: Convert to fraction form
    1,220.84/1,831.60 = 572.12/x
  3. Step 3: Cross multiply
    1,220.84x = 1,831.60 × 572.12
  4. Step 4: Simplify right side
    1,220.84x = 1,047,894.99
  5. Step 5: Solve for x
    x = 1,047,894.99/1,220.84
  6. Step 6: Final answer
    x = 858.34

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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.