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Finding the Fourth Proportional to 1,131.50, 1,560.77 and 683.17

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Solution

The fourth proportional to 1,131.50, 1,560.77 and 683.17 is: 942.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.50 : 1,560.77 = 683.17 : x
  2. Step 2: Convert to fraction form
    1,131.50/1,560.77 = 683.17/x
  3. Step 3: Cross multiply
    1,131.50x = 1,560.77 × 683.17
  4. Step 4: Simplify right side
    1,131.50x = 1,066,266.49
  5. Step 5: Solve for x
    x = 1,066,266.49/1,131.50
  6. Step 6: Final answer
    x = 942.35

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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.