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Finding the Fourth Proportional to 683.86, 1,024.87 and 374.90

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Solution

The fourth proportional to 683.86, 1,024.87 and 374.90 is: 561.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.86 : 1,024.87 = 374.90 : x
  2. Step 2: Convert to fraction form
    683.86/1,024.87 = 374.90/x
  3. Step 3: Cross multiply
    683.86x = 1,024.87 × 374.90
  4. Step 4: Simplify right side
    683.86x = 384,223.76
  5. Step 5: Solve for x
    x = 384,223.76/683.86
  6. Step 6: Final answer
    x = 561.85

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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.