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Finding the Fourth Proportional to 1,055.04, 1,572.21 and 1,020.21

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Solution

The fourth proportional to 1,055.04, 1,572.21 and 1,020.21 is: 1,520.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.04 : 1,572.21 = 1,020.21 : x
  2. Step 2: Convert to fraction form
    1,055.04/1,572.21 = 1,020.21/x
  3. Step 3: Cross multiply
    1,055.04x = 1,572.21 × 1,020.21
  4. Step 4: Simplify right side
    1,055.04x = 1,603,984.36
  5. Step 5: Solve for x
    x = 1,603,984.36/1,055.04
  6. Step 6: Final answer
    x = 1,520.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.