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Finding the Fourth Proportional to 1,478.56, 2,214.87 and 735.93

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Solution

The fourth proportional to 1,478.56, 2,214.87 and 735.93 is: 1,102.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.56 : 2,214.87 = 735.93 : x
  2. Step 2: Convert to fraction form
    1,478.56/2,214.87 = 735.93/x
  3. Step 3: Cross multiply
    1,478.56x = 2,214.87 × 735.93
  4. Step 4: Simplify right side
    1,478.56x = 1,629,994.81
  5. Step 5: Solve for x
    x = 1,629,994.81/1,478.56
  6. Step 6: Final answer
    x = 1,102.42

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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.