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Finding the Fourth Proportional to 705.25, 973.30 and 410.57

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Solution

The fourth proportional to 705.25, 973.30 and 410.57 is: 566.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.25 : 973.30 = 410.57 : x
  2. Step 2: Convert to fraction form
    705.25/973.30 = 410.57/x
  3. Step 3: Cross multiply
    705.25x = 973.30 × 410.57
  4. Step 4: Simplify right side
    705.25x = 399,609.19
  5. Step 5: Solve for x
    x = 399,609.19/705.25
  6. Step 6: Final answer
    x = 566.62

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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.