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Finding the Fourth Proportional to 684.02, 1,024.73 and 405.78

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Solution

The fourth proportional to 684.02, 1,024.73 and 405.78 is: 607.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.02 : 1,024.73 = 405.78 : x
  2. Step 2: Convert to fraction form
    684.02/1,024.73 = 405.78/x
  3. Step 3: Cross multiply
    684.02x = 1,024.73 × 405.78
  4. Step 4: Simplify right side
    684.02x = 415,814.34
  5. Step 5: Solve for x
    x = 415,814.34/684.02
  6. Step 6: Final answer
    x = 607.90

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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.