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Finding the Fourth Proportional to 705.36, 973.56 and 406.77

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Solution

The fourth proportional to 705.36, 973.56 and 406.77 is: 561.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.36 : 973.56 = 406.77 : x
  2. Step 2: Convert to fraction form
    705.36/973.56 = 406.77/x
  3. Step 3: Cross multiply
    705.36x = 973.56 × 406.77
  4. Step 4: Simplify right side
    705.36x = 396,015.00
  5. Step 5: Solve for x
    x = 396,015.00/705.36
  6. Step 6: Final answer
    x = 561.44

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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.