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Finding the Fourth Proportional to 705.87, 973.98 and 411.12

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Solution

The fourth proportional to 705.87, 973.98 and 411.12 is: 567.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.87 : 973.98 = 411.12 : x
  2. Step 2: Convert to fraction form
    705.87/973.98 = 411.12/x
  3. Step 3: Cross multiply
    705.87x = 973.98 × 411.12
  4. Step 4: Simplify right side
    705.87x = 400,422.66
  5. Step 5: Solve for x
    x = 400,422.66/705.87
  6. Step 6: Final answer
    x = 567.28

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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.