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Finding the Fourth Proportional to 1,346.58, 2,017.80 and 797.67

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Solution

The fourth proportional to 1,346.58, 2,017.80 and 797.67 is: 1,195.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346.58 : 2,017.80 = 797.67 : x
  2. Step 2: Convert to fraction form
    1,346.58/2,017.80 = 797.67/x
  3. Step 3: Cross multiply
    1,346.58x = 2,017.80 × 797.67
  4. Step 4: Simplify right side
    1,346.58x = 1,609,538.53
  5. Step 5: Solve for x
    x = 1,609,538.53/1,346.58
  6. Step 6: Final answer
    x = 1,195.28

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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.