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Finding the Fourth Proportional to 930.81, 1,395.39 and 354.09

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Solution

The fourth proportional to 930.81, 1,395.39 and 354.09 is: 530.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.81 : 1,395.39 = 354.09 : x
  2. Step 2: Convert to fraction form
    930.81/1,395.39 = 354.09/x
  3. Step 3: Cross multiply
    930.81x = 1,395.39 × 354.09
  4. Step 4: Simplify right side
    930.81x = 494,093.65
  5. Step 5: Solve for x
    x = 494,093.65/930.81
  6. Step 6: Final answer
    x = 530.82

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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.