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Finding the Fourth Proportional to 469.24, 647.83 and 322.09

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Solution

The fourth proportional to 469.24, 647.83 and 322.09 is: 444.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.24 : 647.83 = 322.09 : x
  2. Step 2: Convert to fraction form
    469.24/647.83 = 322.09/x
  3. Step 3: Cross multiply
    469.24x = 647.83 × 322.09
  4. Step 4: Simplify right side
    469.24x = 208,658.76
  5. Step 5: Solve for x
    x = 208,658.76/469.24
  6. Step 6: Final answer
    x = 444.67

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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.