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Finding the Fourth Proportional to 1,402.80, 1,933.92 and 1,008.60

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Solution

The fourth proportional to 1,402.80, 1,933.92 and 1,008.60 is: 1,390.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.80 : 1,933.92 = 1,008.60 : x
  2. Step 2: Convert to fraction form
    1,402.80/1,933.92 = 1,008.60/x
  3. Step 3: Cross multiply
    1,402.80x = 1,933.92 × 1,008.60
  4. Step 4: Simplify right side
    1,402.80x = 1,950,551.71
  5. Step 5: Solve for x
    x = 1,950,551.71/1,402.80
  6. Step 6: Final answer
    x = 1,390.47

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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.