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Finding the Fourth Proportional to 682.86, 1,023.93 and 511.50

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Solution

The fourth proportional to 682.86, 1,023.93 and 511.50 is: 766.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.86 : 1,023.93 = 511.50 : x
  2. Step 2: Convert to fraction form
    682.86/1,023.93 = 511.50/x
  3. Step 3: Cross multiply
    682.86x = 1,023.93 × 511.50
  4. Step 4: Simplify right side
    682.86x = 523,740.20
  5. Step 5: Solve for x
    x = 523,740.20/682.86
  6. Step 6: Final answer
    x = 766.98

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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.