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Finding the Fourth Proportional to 1,944.84, 2,918.34 and 790.50

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Solution

The fourth proportional to 1,944.84, 2,918.34 and 790.50 is: 1,186.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,944.84 : 2,918.34 = 790.50 : x
  2. Step 2: Convert to fraction form
    1,944.84/2,918.34 = 790.50/x
  3. Step 3: Cross multiply
    1,944.84x = 2,918.34 × 790.50
  4. Step 4: Simplify right side
    1,944.84x = 2,306,947.77
  5. Step 5: Solve for x
    x = 2,306,947.77/1,944.84
  6. Step 6: Final answer
    x = 1,186.19

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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.