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Finding the Fourth Proportional to 1,698.67, 2,342.96 and 1,445.95

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Solution

The fourth proportional to 1,698.67, 2,342.96 and 1,445.95 is: 1,994.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.67 : 2,342.96 = 1,445.95 : x
  2. Step 2: Convert to fraction form
    1,698.67/2,342.96 = 1,445.95/x
  3. Step 3: Cross multiply
    1,698.67x = 2,342.96 × 1,445.95
  4. Step 4: Simplify right side
    1,698.67x = 3,387,803.01
  5. Step 5: Solve for x
    x = 3,387,803.01/1,698.67
  6. Step 6: Final answer
    x = 1,994.39

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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.