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Finding the Fourth Proportional to 1,478.96, 2,041.24 and 919.68

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Solution

The fourth proportional to 1,478.96, 2,041.24 and 919.68 is: 1,269.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.96 : 2,041.24 = 919.68 : x
  2. Step 2: Convert to fraction form
    1,478.96/2,041.24 = 919.68/x
  3. Step 3: Cross multiply
    1,478.96x = 2,041.24 × 919.68
  4. Step 4: Simplify right side
    1,478.96x = 1,877,287.60
  5. Step 5: Solve for x
    x = 1,877,287.60/1,478.96
  6. Step 6: Final answer
    x = 1,269.33

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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.