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Finding the Fourth Proportional to 1,693.63, 2,538.91 and 652.97

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Solution

The fourth proportional to 1,693.63, 2,538.91 and 652.97 is: 978.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693.63 : 2,538.91 = 652.97 : x
  2. Step 2: Convert to fraction form
    1,693.63/2,538.91 = 652.97/x
  3. Step 3: Cross multiply
    1,693.63x = 2,538.91 × 652.97
  4. Step 4: Simplify right side
    1,693.63x = 1,657,832.06
  5. Step 5: Solve for x
    x = 1,657,832.06/1,693.63
  6. Step 6: Final answer
    x = 978.86

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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.