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Finding the Fourth Proportional to 704, 971.54 and 405.28

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Solution

The fourth proportional to 704, 971.54 and 405.28 is: 559.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    704 : 971.54 = 405.28 : x
  2. Step 2: Convert to fraction form
    704/971.54 = 405.28/x
  3. Step 3: Cross multiply
    704x = 971.54 × 405.28
  4. Step 4: Simplify right side
    704x = 393,745.73
  5. Step 5: Solve for x
    x = 393,745.73/704
  6. Step 6: Final answer
    x = 559.30

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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.