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Finding the Fourth Proportional to 1,232.99, 1,845.52 and 647.17

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Solution

The fourth proportional to 1,232.99, 1,845.52 and 647.17 is: 968.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.99 : 1,845.52 = 647.17 : x
  2. Step 2: Convert to fraction form
    1,232.99/1,845.52 = 647.17/x
  3. Step 3: Cross multiply
    1,232.99x = 1,845.52 × 647.17
  4. Step 4: Simplify right side
    1,232.99x = 1,194,365.87
  5. Step 5: Solve for x
    x = 1,194,365.87/1,232.99
  6. Step 6: Final answer
    x = 968.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.