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Finding the Fourth Proportional to 647.07, 969.66 and 321.99

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Solution

The fourth proportional to 647.07, 969.66 and 321.99 is: 482.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.07 : 969.66 = 321.99 : x
  2. Step 2: Convert to fraction form
    647.07/969.66 = 321.99/x
  3. Step 3: Cross multiply
    647.07x = 969.66 × 321.99
  4. Step 4: Simplify right side
    647.07x = 312,220.82
  5. Step 5: Solve for x
    x = 312,220.82/647.07
  6. Step 6: Final answer
    x = 482.51

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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.