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Finding the Fourth Proportional to 1,014.42, 1,398.73 and 749.24

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Solution

The fourth proportional to 1,014.42, 1,398.73 and 749.24 is: 1,033.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.42 : 1,398.73 = 749.24 : x
  2. Step 2: Convert to fraction form
    1,014.42/1,398.73 = 749.24/x
  3. Step 3: Cross multiply
    1,014.42x = 1,398.73 × 749.24
  4. Step 4: Simplify right side
    1,014.42x = 1,047,980.72
  5. Step 5: Solve for x
    x = 1,047,980.72/1,014.42
  6. Step 6: Final answer
    x = 1,033.09

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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.