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Finding the Fourth Proportional to 973.75, 1,343.78 and 624.44

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Solution

The fourth proportional to 973.75, 1,343.78 and 624.44 is: 861.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.75 : 1,343.78 = 624.44 : x
  2. Step 2: Convert to fraction form
    973.75/1,343.78 = 624.44/x
  3. Step 3: Cross multiply
    973.75x = 1,343.78 × 624.44
  4. Step 4: Simplify right side
    973.75x = 839,109.98
  5. Step 5: Solve for x
    x = 839,109.98/973.75
  6. Step 6: Final answer
    x = 861.73

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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.