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Finding the Fourth Proportional to 448.61, 669.06 and 439.47

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Solution

The fourth proportional to 448.61, 669.06 and 439.47 is: 655.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.61 : 669.06 = 439.47 : x
  2. Step 2: Convert to fraction form
    448.61/669.06 = 439.47/x
  3. Step 3: Cross multiply
    448.61x = 669.06 × 439.47
  4. Step 4: Simplify right side
    448.61x = 294,031.80
  5. Step 5: Solve for x
    x = 294,031.80/448.61
  6. Step 6: Final answer
    x = 655.44

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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.