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Finding the Fourth Proportional to 688.04, 949.62 and 439.16

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Solution

The fourth proportional to 688.04, 949.62 and 439.16 is: 606.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.04 : 949.62 = 439.16 : x
  2. Step 2: Convert to fraction form
    688.04/949.62 = 439.16/x
  3. Step 3: Cross multiply
    688.04x = 949.62 × 439.16
  4. Step 4: Simplify right side
    688.04x = 417,035.12
  5. Step 5: Solve for x
    x = 417,035.12/688.04
  6. Step 6: Final answer
    x = 606.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.