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Finding the Fourth Proportional to 1,693.76, 2,539.44 and 652.89

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Solution

The fourth proportional to 1,693.76, 2,539.44 and 652.89 is: 978.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693.76 : 2,539.44 = 652.89 : x
  2. Step 2: Convert to fraction form
    1,693.76/2,539.44 = 652.89/x
  3. Step 3: Cross multiply
    1,693.76x = 2,539.44 × 652.89
  4. Step 4: Simplify right side
    1,693.76x = 1,657,974.98
  5. Step 5: Solve for x
    x = 1,657,974.98/1,693.76
  6. Step 6: Final answer
    x = 978.87

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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.