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Finding the Fourth Proportional to 1,243.77, 1,713.35 and 1,066.15

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Solution

The fourth proportional to 1,243.77, 1,713.35 and 1,066.15 is: 1,468.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243.77 : 1,713.35 = 1,066.15 : x
  2. Step 2: Convert to fraction form
    1,243.77/1,713.35 = 1,066.15/x
  3. Step 3: Cross multiply
    1,243.77x = 1,713.35 × 1,066.15
  4. Step 4: Simplify right side
    1,243.77x = 1,826,688.10
  5. Step 5: Solve for x
    x = 1,826,688.10/1,243.77
  6. Step 6: Final answer
    x = 1,468.67

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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.