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Finding the Fourth Proportional to 693.14, 954.48 and 617.36

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Solution

The fourth proportional to 693.14, 954.48 and 617.36 is: 850.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.14 : 954.48 = 617.36 : x
  2. Step 2: Convert to fraction form
    693.14/954.48 = 617.36/x
  3. Step 3: Cross multiply
    693.14x = 954.48 × 617.36
  4. Step 4: Simplify right side
    693.14x = 589,257.77
  5. Step 5: Solve for x
    x = 589,257.77/693.14
  6. Step 6: Final answer
    x = 850.13

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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.