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Finding the Fourth Proportional to 1,225.94, 1,838.70 and 360.05

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Solution

The fourth proportional to 1,225.94, 1,838.70 and 360.05 is: 540.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.94 : 1,838.70 = 360.05 : x
  2. Step 2: Convert to fraction form
    1,225.94/1,838.70 = 360.05/x
  3. Step 3: Cross multiply
    1,225.94x = 1,838.70 × 360.05
  4. Step 4: Simplify right side
    1,225.94x = 662,014.74
  5. Step 5: Solve for x
    x = 662,014.74/1,225.94
  6. Step 6: Final answer
    x = 540.01

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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.