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Finding the Fourth Proportional to 669.80, 924.01 and 448.47

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Solution

The fourth proportional to 669.80, 924.01 and 448.47 is: 618.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.80 : 924.01 = 448.47 : x
  2. Step 2: Convert to fraction form
    669.80/924.01 = 448.47/x
  3. Step 3: Cross multiply
    669.80x = 924.01 × 448.47
  4. Step 4: Simplify right side
    669.80x = 414,389.64
  5. Step 5: Solve for x
    x = 414,389.64/669.80
  6. Step 6: Final answer
    x = 618.67

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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.