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Finding the Fourth Proportional to 1,401.72, 1,933.98 and 812.25

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Solution

The fourth proportional to 1,401.72, 1,933.98 and 812.25 is: 1,120.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,401.72 : 1,933.98 = 812.25 : x
  2. Step 2: Convert to fraction form
    1,401.72/1,933.98 = 812.25/x
  3. Step 3: Cross multiply
    1,401.72x = 1,933.98 × 812.25
  4. Step 4: Simplify right side
    1,401.72x = 1,570,875.26
  5. Step 5: Solve for x
    x = 1,570,875.26/1,401.72
  6. Step 6: Final answer
    x = 1,120.68

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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.