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Finding the Fourth Proportional to 1,055.21, 1,455.50 and 1,019.57

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Solution

The fourth proportional to 1,055.21, 1,455.50 and 1,019.57 is: 1,406.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.21 : 1,455.50 = 1,019.57 : x
  2. Step 2: Convert to fraction form
    1,055.21/1,455.50 = 1,019.57/x
  3. Step 3: Cross multiply
    1,055.21x = 1,455.50 × 1,019.57
  4. Step 4: Simplify right side
    1,055.21x = 1,483,979.41
  5. Step 5: Solve for x
    x = 1,483,979.41/1,055.21
  6. Step 6: Final answer
    x = 1,406.34

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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.