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Finding the Fourth Proportional to 1,409.02, 1,944.45 and 788.02

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Solution

The fourth proportional to 1,409.02, 1,944.45 and 788.02 is: 1,087.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.02 : 1,944.45 = 788.02 : x
  2. Step 2: Convert to fraction form
    1,409.02/1,944.45 = 788.02/x
  3. Step 3: Cross multiply
    1,409.02x = 1,944.45 × 788.02
  4. Step 4: Simplify right side
    1,409.02x = 1,532,265.49
  5. Step 5: Solve for x
    x = 1,532,265.49/1,409.02
  6. Step 6: Final answer
    x = 1,087.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.