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Finding the Fourth Proportional to 448.32, 668.80 and 435.76

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Solution

The fourth proportional to 448.32, 668.80 and 435.76 is: 650.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.32 : 668.80 = 435.76 : x
  2. Step 2: Convert to fraction form
    448.32/668.80 = 435.76/x
  3. Step 3: Cross multiply
    448.32x = 668.80 × 435.76
  4. Step 4: Simplify right side
    448.32x = 291,436.29
  5. Step 5: Solve for x
    x = 291,436.29/448.32
  6. Step 6: Final answer
    x = 650.06

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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.