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Finding the Fourth Proportional to 1,216.99, 1,679.43 and 693.01

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Solution

The fourth proportional to 1,216.99, 1,679.43 and 693.01 is: 956.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.99 : 1,679.43 = 693.01 : x
  2. Step 2: Convert to fraction form
    1,216.99/1,679.43 = 693.01/x
  3. Step 3: Cross multiply
    1,216.99x = 1,679.43 × 693.01
  4. Step 4: Simplify right side
    1,216.99x = 1,163,861.78
  5. Step 5: Solve for x
    x = 1,163,861.78/1,216.99
  6. Step 6: Final answer
    x = 956.34

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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.