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Finding the Fourth Proportional to 1,225.64, 1,838.49 and 360.02

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Solution

The fourth proportional to 1,225.64, 1,838.49 and 360.02 is: 540.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.64 : 1,838.49 = 360.02 : x
  2. Step 2: Convert to fraction form
    1,225.64/1,838.49 = 360.02/x
  3. Step 3: Cross multiply
    1,225.64x = 1,838.49 × 360.02
  4. Step 4: Simplify right side
    1,225.64x = 661,893.17
  5. Step 5: Solve for x
    x = 661,893.17/1,225.64
  6. Step 6: Final answer
    x = 540.04

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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.