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Finding the Fourth Proportional to 448.94, 669.52 and 384.34

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Solution

The fourth proportional to 448.94, 669.52 and 384.34 is: 573.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.94 : 669.52 = 384.34 : x
  2. Step 2: Convert to fraction form
    448.94/669.52 = 384.34/x
  3. Step 3: Cross multiply
    448.94x = 669.52 × 384.34
  4. Step 4: Simplify right side
    448.94x = 257,323.32
  5. Step 5: Solve for x
    x = 257,323.32/448.94
  6. Step 6: Final answer
    x = 573.18

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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.