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Finding the Fourth Proportional to 682.55, 1,024.34 and 500.42

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Solution

The fourth proportional to 682.55, 1,024.34 and 500.42 is: 751.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.55 : 1,024.34 = 500.42 : x
  2. Step 2: Convert to fraction form
    682.55/1,024.34 = 500.42/x
  3. Step 3: Cross multiply
    682.55x = 1,024.34 × 500.42
  4. Step 4: Simplify right side
    682.55x = 512,600.22
  5. Step 5: Solve for x
    x = 512,600.22/682.55
  6. Step 6: Final answer
    x = 751.01

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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.