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Finding the Fourth Proportional to 1,148.63, 1,723.01 and 368.73

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Solution

The fourth proportional to 1,148.63, 1,723.01 and 368.73 is: 553.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.63 : 1,723.01 = 368.73 : x
  2. Step 2: Convert to fraction form
    1,148.63/1,723.01 = 368.73/x
  3. Step 3: Cross multiply
    1,148.63x = 1,723.01 × 368.73
  4. Step 4: Simplify right side
    1,148.63x = 635,323.63
  5. Step 5: Solve for x
    x = 635,323.63/1,148.63
  6. Step 6: Final answer
    x = 553.12

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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.