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Finding the Fourth Proportional to 705.80, 973.94 and 411.20

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Solution

The fourth proportional to 705.80, 973.94 and 411.20 is: 567.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.80 : 973.94 = 411.20 : x
  2. Step 2: Convert to fraction form
    705.80/973.94 = 411.20/x
  3. Step 3: Cross multiply
    705.80x = 973.94 × 411.20
  4. Step 4: Simplify right side
    705.80x = 400,484.13
  5. Step 5: Solve for x
    x = 400,484.13/705.80
  6. Step 6: Final answer
    x = 567.42

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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.