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Finding the Fourth Proportional to 446, 618.33 and 421.40

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Solution

The fourth proportional to 446, 618.33 and 421.40 is: 584.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    446 : 618.33 = 421.40 : x
  2. Step 2: Convert to fraction form
    446/618.33 = 421.40/x
  3. Step 3: Cross multiply
    446x = 618.33 × 421.40
  4. Step 4: Simplify right side
    446x = 260,561.17
  5. Step 5: Solve for x
    x = 260,561.17/446
  6. Step 6: Final answer
    x = 584.22

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.