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Finding the Fourth Proportional to 984.89, 1,477.74 and 368.51

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Solution

The fourth proportional to 984.89, 1,477.74 and 368.51 is: 552.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.89 : 1,477.74 = 368.51 : x
  2. Step 2: Convert to fraction form
    984.89/1,477.74 = 368.51/x
  3. Step 3: Cross multiply
    984.89x = 1,477.74 × 368.51
  4. Step 4: Simplify right side
    984.89x = 544,554.58
  5. Step 5: Solve for x
    x = 544,554.58/984.89
  6. Step 6: Final answer
    x = 552.91

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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.