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Finding the Fourth Proportional to 677.81, 935.42 and 383.09

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Solution

The fourth proportional to 677.81, 935.42 and 383.09 is: 528.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.81 : 935.42 = 383.09 : x
  2. Step 2: Convert to fraction form
    677.81/935.42 = 383.09/x
  3. Step 3: Cross multiply
    677.81x = 935.42 × 383.09
  4. Step 4: Simplify right side
    677.81x = 358,343.46
  5. Step 5: Solve for x
    x = 358,343.46/677.81
  6. Step 6: Final answer
    x = 528.68

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Why These Related Problems?

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