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Finding the Fourth Proportional to 982.32, 1,355.59 and 540.21

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Solution

The fourth proportional to 982.32, 1,355.59 and 540.21 is: 745.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.32 : 1,355.59 = 540.21 : x
  2. Step 2: Convert to fraction form
    982.32/1,355.59 = 540.21/x
  3. Step 3: Cross multiply
    982.32x = 1,355.59 × 540.21
  4. Step 4: Simplify right side
    982.32x = 732,303.27
  5. Step 5: Solve for x
    x = 732,303.27/982.32
  6. Step 6: Final answer
    x = 745.48

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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.