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Finding the Fourth Proportional to 656.04, 983.92 and 412.24

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Solution

The fourth proportional to 656.04, 983.92 and 412.24 is: 618.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.04 : 983.92 = 412.24 : x
  2. Step 2: Convert to fraction form
    656.04/983.92 = 412.24/x
  3. Step 3: Cross multiply
    656.04x = 983.92 × 412.24
  4. Step 4: Simplify right side
    656.04x = 405,611.18
  5. Step 5: Solve for x
    x = 405,611.18/656.04
  6. Step 6: Final answer
    x = 618.27

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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.