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Finding the Fourth Proportional to 705.72, 973.95 and 411

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Solution

The fourth proportional to 705.72, 973.95 and 411 is: 567.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.72 : 973.95 = 411 : x
  2. Step 2: Convert to fraction form
    705.72/973.95 = 411/x
  3. Step 3: Cross multiply
    705.72x = 973.95 × 411
  4. Step 4: Simplify right side
    705.72x = 400,293.45
  5. Step 5: Solve for x
    x = 400,293.45/705.72
  6. Step 6: Final answer
    x = 567.21

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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.