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Finding the Fourth Proportional to 1,420.22, 2,130.32 and 446.39

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Solution

The fourth proportional to 1,420.22, 2,130.32 and 446.39 is: 669.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.22 : 2,130.32 = 446.39 : x
  2. Step 2: Convert to fraction form
    1,420.22/2,130.32 = 446.39/x
  3. Step 3: Cross multiply
    1,420.22x = 2,130.32 × 446.39
  4. Step 4: Simplify right side
    1,420.22x = 950,953.54
  5. Step 5: Solve for x
    x = 950,953.54/1,420.22
  6. Step 6: Final answer
    x = 669.58

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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.