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Finding the Fourth Proportional to 930.25, 1,395.78 and 353.53

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Solution

The fourth proportional to 930.25, 1,395.78 and 353.53 is: 530.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.25 : 1,395.78 = 353.53 : x
  2. Step 2: Convert to fraction form
    930.25/1,395.78 = 353.53/x
  3. Step 3: Cross multiply
    930.25x = 1,395.78 × 353.53
  4. Step 4: Simplify right side
    930.25x = 493,450.10
  5. Step 5: Solve for x
    x = 493,450.10/930.25
  6. Step 6: Final answer
    x = 530.45

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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.