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Finding the Fourth Proportional to 448.82, 669.90 and 437.90

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Solution

The fourth proportional to 448.82, 669.90 and 437.90 is: 653.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.82 : 669.90 = 437.90 : x
  2. Step 2: Convert to fraction form
    448.82/669.90 = 437.90/x
  3. Step 3: Cross multiply
    448.82x = 669.90 × 437.90
  4. Step 4: Simplify right side
    448.82x = 293,349.21
  5. Step 5: Solve for x
    x = 293,349.21/448.82
  6. Step 6: Final answer
    x = 653.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.