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Finding the Fourth Proportional to 705.41, 973.85 and 469.54

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Solution

The fourth proportional to 705.41, 973.85 and 469.54 is: 648.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.41 : 973.85 = 469.54 : x
  2. Step 2: Convert to fraction form
    705.41/973.85 = 469.54/x
  3. Step 3: Cross multiply
    705.41x = 973.85 × 469.54
  4. Step 4: Simplify right side
    705.41x = 457,257.56
  5. Step 5: Solve for x
    x = 457,257.56/705.41
  6. Step 6: Final answer
    x = 648.22

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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.