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Finding the Fourth Proportional to 991.58, 1,369.54 and 659.41

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Solution

The fourth proportional to 991.58, 1,369.54 and 659.41 is: 910.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.58 : 1,369.54 = 659.41 : x
  2. Step 2: Convert to fraction form
    991.58/1,369.54 = 659.41/x
  3. Step 3: Cross multiply
    991.58x = 1,369.54 × 659.41
  4. Step 4: Simplify right side
    991.58x = 903,085.77
  5. Step 5: Solve for x
    x = 903,085.77/991.58
  6. Step 6: Final answer
    x = 910.76

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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.