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Finding the Fourth Proportional to 1,665, 2,298.34 and 1,114.60

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Solution

The fourth proportional to 1,665, 2,298.34 and 1,114.60 is: 1,538.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,665 : 2,298.34 = 1,114.60 : x
  2. Step 2: Convert to fraction form
    1,665/2,298.34 = 1,114.60/x
  3. Step 3: Cross multiply
    1,665x = 2,298.34 × 1,114.60
  4. Step 4: Simplify right side
    1,665x = 2,561,729.76
  5. Step 5: Solve for x
    x = 2,561,729.76/1,665
  6. Step 6: Final answer
    x = 1,538.58

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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.