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Finding the Fourth Proportional to 1,420.84, 1,960.77 and 890.02

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Solution

The fourth proportional to 1,420.84, 1,960.77 and 890.02 is: 1,228.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.84 : 1,960.77 = 890.02 : x
  2. Step 2: Convert to fraction form
    1,420.84/1,960.77 = 890.02/x
  3. Step 3: Cross multiply
    1,420.84x = 1,960.77 × 890.02
  4. Step 4: Simplify right side
    1,420.84x = 1,745,124.52
  5. Step 5: Solve for x
    x = 1,745,124.52/1,420.84
  6. Step 6: Final answer
    x = 1,228.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.