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Finding the Fourth Proportional to 1,216.99, 1,679.45 and 693.02

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Solution

The fourth proportional to 1,216.99, 1,679.45 and 693.02 is: 956.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.99 : 1,679.45 = 693.02 : x
  2. Step 2: Convert to fraction form
    1,216.99/1,679.45 = 693.02/x
  3. Step 3: Cross multiply
    1,216.99x = 1,679.45 × 693.02
  4. Step 4: Simplify right side
    1,216.99x = 1,163,892.44
  5. Step 5: Solve for x
    x = 1,163,892.44/1,216.99
  6. Step 6: Final answer
    x = 956.37

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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.