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Finding the Fourth Proportional to 1,156.21, 1,597.07 and 935.99

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Solution

The fourth proportional to 1,156.21, 1,597.07 and 935.99 is: 1,292.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.21 : 1,597.07 = 935.99 : x
  2. Step 2: Convert to fraction form
    1,156.21/1,597.07 = 935.99/x
  3. Step 3: Cross multiply
    1,156.21x = 1,597.07 × 935.99
  4. Step 4: Simplify right side
    1,156.21x = 1,494,847.88
  5. Step 5: Solve for x
    x = 1,494,847.88/1,156.21
  6. Step 6: Final answer
    x = 1,292.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.