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Finding the Fourth Proportional to 1,290.43, 1,935.65 and 316.52

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Solution

The fourth proportional to 1,290.43, 1,935.65 and 316.52 is: 474.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.43 : 1,935.65 = 316.52 : x
  2. Step 2: Convert to fraction form
    1,290.43/1,935.65 = 316.52/x
  3. Step 3: Cross multiply
    1,290.43x = 1,935.65 × 316.52
  4. Step 4: Simplify right side
    1,290.43x = 612,675.19
  5. Step 5: Solve for x
    x = 612,675.19/1,290.43
  6. Step 6: Final answer
    x = 474.78

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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.