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Finding the Fourth Proportional to 469.83, 648.66 and 320.63

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Solution

The fourth proportional to 469.83, 648.66 and 320.63 is: 442.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.83 : 648.66 = 320.63 : x
  2. Step 2: Convert to fraction form
    469.83/648.66 = 320.63/x
  3. Step 3: Cross multiply
    469.83x = 648.66 × 320.63
  4. Step 4: Simplify right side
    469.83x = 207,978.25
  5. Step 5: Solve for x
    x = 207,978.25/469.83
  6. Step 6: Final answer
    x = 442.67

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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.