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Finding the Fourth Proportional to 1,216.98, 1,679.52 and 693.05

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Solution

The fourth proportional to 1,216.98, 1,679.52 and 693.05 is: 956.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.98 : 1,679.52 = 693.05 : x
  2. Step 2: Convert to fraction form
    1,216.98/1,679.52 = 693.05/x
  3. Step 3: Cross multiply
    1,216.98x = 1,679.52 × 693.05
  4. Step 4: Simplify right side
    1,216.98x = 1,163,982.94
  5. Step 5: Solve for x
    x = 1,163,982.94/1,216.98
  6. Step 6: Final answer
    x = 956.45

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1.5x scale

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.