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Finding the Fourth Proportional to 705.56, 973.40 and 410.72

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Solution

The fourth proportional to 705.56, 973.40 and 410.72 is: 566.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.56 : 973.40 = 410.72 : x
  2. Step 2: Convert to fraction form
    705.56/973.40 = 410.72/x
  3. Step 3: Cross multiply
    705.56x = 973.40 × 410.72
  4. Step 4: Simplify right side
    705.56x = 399,794.85
  5. Step 5: Solve for x
    x = 399,794.85/705.56
  6. Step 6: Final answer
    x = 566.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.