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Finding the Fourth Proportional to 745.35, 1,116 and 420.18

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Solution

The fourth proportional to 745.35, 1,116 and 420.18 is: 629.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.35 : 1,116 = 420.18 : x
  2. Step 2: Convert to fraction form
    745.35/1,116 = 420.18/x
  3. Step 3: Cross multiply
    745.35x = 1,116 × 420.18
  4. Step 4: Simplify right side
    745.35x = 468,920.88
  5. Step 5: Solve for x
    x = 468,920.88/745.35
  6. Step 6: Final answer
    x = 629.13

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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.