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Finding the Fourth Proportional to 1,693.05, 2,539.28 and 460.31

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Solution

The fourth proportional to 1,693.05, 2,539.28 and 460.31 is: 690.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693.05 : 2,539.28 = 460.31 : x
  2. Step 2: Convert to fraction form
    1,693.05/2,539.28 = 460.31/x
  3. Step 3: Cross multiply
    1,693.05x = 2,539.28 × 460.31
  4. Step 4: Simplify right side
    1,693.05x = 1,168,840.98
  5. Step 5: Solve for x
    x = 1,168,840.98/1,693.05
  6. Step 6: Final answer
    x = 690.38

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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.