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Finding the Fourth Proportional to 1,690.66, 2,533.15 and 1,365.45

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Solution

The fourth proportional to 1,690.66, 2,533.15 and 1,365.45 is: 2,045.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,690.66 : 2,533.15 = 1,365.45 : x
  2. Step 2: Convert to fraction form
    1,690.66/2,533.15 = 1,365.45/x
  3. Step 3: Cross multiply
    1,690.66x = 2,533.15 × 1,365.45
  4. Step 4: Simplify right side
    1,690.66x = 3,458,889.67
  5. Step 5: Solve for x
    x = 3,458,889.67/1,690.66
  6. Step 6: Final answer
    x = 2,045.88

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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.