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Finding the Fourth Proportional to 1,484.98, 2,225.99 and 1,225.78

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Solution

The fourth proportional to 1,484.98, 2,225.99 and 1,225.78 is: 1,837.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,484.98 : 2,225.99 = 1,225.78 : x
  2. Step 2: Convert to fraction form
    1,484.98/2,225.99 = 1,225.78/x
  3. Step 3: Cross multiply
    1,484.98x = 2,225.99 × 1,225.78
  4. Step 4: Simplify right side
    1,484.98x = 2,728,574.02
  5. Step 5: Solve for x
    x = 2,728,574.02/1,484.98
  6. Step 6: Final answer
    x = 1,837.45

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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.