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Finding the Fourth Proportional to 953.06, 1,315.89 and 743.46

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Solution

The fourth proportional to 953.06, 1,315.89 and 743.46 is: 1,026.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.06 : 1,315.89 = 743.46 : x
  2. Step 2: Convert to fraction form
    953.06/1,315.89 = 743.46/x
  3. Step 3: Cross multiply
    953.06x = 1,315.89 × 743.46
  4. Step 4: Simplify right side
    953.06x = 978,311.58
  5. Step 5: Solve for x
    x = 978,311.58/953.06
  6. Step 6: Final answer
    x = 1,026.50

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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.