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Finding the Fourth Proportional to 448.84, 669.80 and 383.80

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Solution

The fourth proportional to 448.84, 669.80 and 383.80 is: 572.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.84 : 669.80 = 383.80 : x
  2. Step 2: Convert to fraction form
    448.84/669.80 = 383.80/x
  3. Step 3: Cross multiply
    448.84x = 669.80 × 383.80
  4. Step 4: Simplify right side
    448.84x = 257,069.24
  5. Step 5: Solve for x
    x = 257,069.24/448.84
  6. Step 6: Final answer
    x = 572.74

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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.