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Finding the Fourth Proportional to 1,655.09, 2,284.40 and 991.81

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Solution

The fourth proportional to 1,655.09, 2,284.40 and 991.81 is: 1,368.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,655.09 : 2,284.40 = 991.81 : x
  2. Step 2: Convert to fraction form
    1,655.09/2,284.40 = 991.81/x
  3. Step 3: Cross multiply
    1,655.09x = 2,284.40 × 991.81
  4. Step 4: Simplify right side
    1,655.09x = 2,265,690.76
  5. Step 5: Solve for x
    x = 2,265,690.76/1,655.09
  6. Step 6: Final answer
    x = 1,368.92

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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.