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Finding the Fourth Proportional to 1,290.35, 1,935.53 and 365.88

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Solution

The fourth proportional to 1,290.35, 1,935.53 and 365.88 is: 548.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.35 : 1,935.53 = 365.88 : x
  2. Step 2: Convert to fraction form
    1,290.35/1,935.53 = 365.88/x
  3. Step 3: Cross multiply
    1,290.35x = 1,935.53 × 365.88
  4. Step 4: Simplify right side
    1,290.35x = 708,171.72
  5. Step 5: Solve for x
    x = 708,171.72/1,290.35
  6. Step 6: Final answer
    x = 548.82

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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.