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Finding the Fourth Proportional to 448.07, 671.76 and 383.40

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Solution

The fourth proportional to 448.07, 671.76 and 383.40 is: 574.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.07 : 671.76 = 383.40 : x
  2. Step 2: Convert to fraction form
    448.07/671.76 = 383.40/x
  3. Step 3: Cross multiply
    448.07x = 671.76 × 383.40
  4. Step 4: Simplify right side
    448.07x = 257,552.78
  5. Step 5: Solve for x
    x = 257,552.78/448.07
  6. Step 6: Final answer
    x = 574.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.