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Finding the Fourth Proportional to 683.13, 942.73 and 384.36

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Solution

The fourth proportional to 683.13, 942.73 and 384.36 is: 530.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.13 : 942.73 = 384.36 : x
  2. Step 2: Convert to fraction form
    683.13/942.73 = 384.36/x
  3. Step 3: Cross multiply
    683.13x = 942.73 × 384.36
  4. Step 4: Simplify right side
    683.13x = 362,343.99
  5. Step 5: Solve for x
    x = 362,343.99/683.13
  6. Step 6: Final answer
    x = 530.41

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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.