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Finding the Fourth Proportional to 1,002.33, 1,496.06 and 940.77

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Solution

The fourth proportional to 1,002.33, 1,496.06 and 940.77 is: 1,404.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.33 : 1,496.06 = 940.77 : x
  2. Step 2: Convert to fraction form
    1,002.33/1,496.06 = 940.77/x
  3. Step 3: Cross multiply
    1,002.33x = 1,496.06 × 940.77
  4. Step 4: Simplify right side
    1,002.33x = 1,407,448.37
  5. Step 5: Solve for x
    x = 1,407,448.37/1,002.33
  6. Step 6: Final answer
    x = 1,404.18

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.