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Finding the Fourth Proportional to 1,291.91, 1,936.80 and 597.69

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Solution

The fourth proportional to 1,291.91, 1,936.80 and 597.69 is: 896.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.91 : 1,936.80 = 597.69 : x
  2. Step 2: Convert to fraction form
    1,291.91/1,936.80 = 597.69/x
  3. Step 3: Cross multiply
    1,291.91x = 1,936.80 × 597.69
  4. Step 4: Simplify right side
    1,291.91x = 1,157,605.99
  5. Step 5: Solve for x
    x = 1,157,605.99/1,291.91
  6. Step 6: Final answer
    x = 896.05

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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.