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Finding the Fourth Proportional to 1,370.24, 2,052.48 and 640.40

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Solution

The fourth proportional to 1,370.24, 2,052.48 and 640.40 is: 959.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,370.24 : 2,052.48 = 640.40 : x
  2. Step 2: Convert to fraction form
    1,370.24/2,052.48 = 640.40/x
  3. Step 3: Cross multiply
    1,370.24x = 2,052.48 × 640.40
  4. Step 4: Simplify right side
    1,370.24x = 1,314,408.19
  5. Step 5: Solve for x
    x = 1,314,408.19/1,370.24
  6. Step 6: Final answer
    x = 959.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.