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Finding the Fourth Proportional to 984.63, 1,475.43 and 368.18

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Solution

The fourth proportional to 984.63, 1,475.43 and 368.18 is: 551.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.63 : 1,475.43 = 368.18 : x
  2. Step 2: Convert to fraction form
    984.63/1,475.43 = 368.18/x
  3. Step 3: Cross multiply
    984.63x = 1,475.43 × 368.18
  4. Step 4: Simplify right side
    984.63x = 543,223.82
  5. Step 5: Solve for x
    x = 543,223.82/984.63
  6. Step 6: Final answer
    x = 551.70

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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.