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Finding the Fourth Proportional to 683.77, 1,026.56 and 581.71

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Solution

The fourth proportional to 683.77, 1,026.56 and 581.71 is: 873.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.77 : 1,026.56 = 581.71 : x
  2. Step 2: Convert to fraction form
    683.77/1,026.56 = 581.71/x
  3. Step 3: Cross multiply
    683.77x = 1,026.56 × 581.71
  4. Step 4: Simplify right side
    683.77x = 597,154.36
  5. Step 5: Solve for x
    x = 597,154.36/683.77
  6. Step 6: Final answer
    x = 873.33

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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.