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Finding the Fourth Proportional to 682.16, 1,018.24 and 609.20

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Solution

The fourth proportional to 682.16, 1,018.24 and 609.20 is: 909.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.16 : 1,018.24 = 609.20 : x
  2. Step 2: Convert to fraction form
    682.16/1,018.24 = 609.20/x
  3. Step 3: Cross multiply
    682.16x = 1,018.24 × 609.20
  4. Step 4: Simplify right side
    682.16x = 620,311.81
  5. Step 5: Solve for x
    x = 620,311.81/682.16
  6. Step 6: Final answer
    x = 909.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.