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Finding the Fourth Proportional to 705.21, 973.66 and 540.27

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Solution

The fourth proportional to 705.21, 973.66 and 540.27 is: 745.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.21 : 973.66 = 540.27 : x
  2. Step 2: Convert to fraction form
    705.21/973.66 = 540.27/x
  3. Step 3: Cross multiply
    705.21x = 973.66 × 540.27
  4. Step 4: Simplify right side
    705.21x = 526,039.29
  5. Step 5: Solve for x
    x = 526,039.29/705.21
  6. Step 6: Final answer
    x = 745.93

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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.