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Finding the Fourth Proportional to 1,655.12, 2,283.84 and 991.89

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Solution

The fourth proportional to 1,655.12, 2,283.84 and 991.89 is: 1,368.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,655.12 : 2,283.84 = 991.89 : x
  2. Step 2: Convert to fraction form
    1,655.12/2,283.84 = 991.89/x
  3. Step 3: Cross multiply
    1,655.12x = 2,283.84 × 991.89
  4. Step 4: Simplify right side
    1,655.12x = 2,265,318.06
  5. Step 5: Solve for x
    x = 2,265,318.06/1,655.12
  6. Step 6: Final answer
    x = 1,368.67

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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.