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Finding the Fourth Proportional to 688.47, 950.19 and 440.07

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Solution

The fourth proportional to 688.47, 950.19 and 440.07 is: 607.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.47 : 950.19 = 440.07 : x
  2. Step 2: Convert to fraction form
    688.47/950.19 = 440.07/x
  3. Step 3: Cross multiply
    688.47x = 950.19 × 440.07
  4. Step 4: Simplify right side
    688.47x = 418,150.11
  5. Step 5: Solve for x
    x = 418,150.11/688.47
  6. Step 6: Final answer
    x = 607.36

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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.