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Finding the Fourth Proportional to 1,420.90, 2,130.89 and 519.17

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Solution

The fourth proportional to 1,420.90, 2,130.89 and 519.17 is: 778.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.90 : 2,130.89 = 519.17 : x
  2. Step 2: Convert to fraction form
    1,420.90/2,130.89 = 519.17/x
  3. Step 3: Cross multiply
    1,420.90x = 2,130.89 × 519.17
  4. Step 4: Simplify right side
    1,420.90x = 1,106,290.85
  5. Step 5: Solve for x
    x = 1,106,290.85/1,420.90
  6. Step 6: Final answer
    x = 778.58

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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.