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Finding the Fourth Proportional to 1,420.98, 2,131.77 and 555.30

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Solution

The fourth proportional to 1,420.98, 2,131.77 and 555.30 is: 833.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.98 : 2,131.77 = 555.30 : x
  2. Step 2: Convert to fraction form
    1,420.98/2,131.77 = 555.30/x
  3. Step 3: Cross multiply
    1,420.98x = 2,131.77 × 555.30
  4. Step 4: Simplify right side
    1,420.98x = 1,183,771.88
  5. Step 5: Solve for x
    x = 1,183,771.88/1,420.98
  6. Step 6: Final answer
    x = 833.07

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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.