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Finding the Fourth Proportional to 682.37, 1,020.42 and 507.01

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Solution

The fourth proportional to 682.37, 1,020.42 and 507.01 is: 758.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.37 : 1,020.42 = 507.01 : x
  2. Step 2: Convert to fraction form
    682.37/1,020.42 = 507.01/x
  3. Step 3: Cross multiply
    682.37x = 1,020.42 × 507.01
  4. Step 4: Simplify right side
    682.37x = 517,360.59
  5. Step 5: Solve for x
    x = 517,360.59/682.37
  6. Step 6: Final answer
    x = 758.18

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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.