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Finding the Fourth Proportional to 1,220.84, 1,830 and 490.10

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Solution

The fourth proportional to 1,220.84, 1,830 and 490.10 is: 734.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.84 : 1,830 = 490.10 : x
  2. Step 2: Convert to fraction form
    1,220.84/1,830 = 490.10/x
  3. Step 3: Cross multiply
    1,220.84x = 1,830 × 490.10
  4. Step 4: Simplify right side
    1,220.84x = 896,883
  5. Step 5: Solve for x
    x = 896,883/1,220.84
  6. Step 6: Final answer
    x = 734.64

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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.