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Finding the Fourth Proportional to 683.28, 1,020.24 and 561.76

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Solution

The fourth proportional to 683.28, 1,020.24 and 561.76 is: 838.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.28 : 1,020.24 = 561.76 : x
  2. Step 2: Convert to fraction form
    683.28/1,020.24 = 561.76/x
  3. Step 3: Cross multiply
    683.28x = 1,020.24 × 561.76
  4. Step 4: Simplify right side
    683.28x = 573,130.02
  5. Step 5: Solve for x
    x = 573,130.02/683.28
  6. Step 6: Final answer
    x = 838.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.