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Finding the Fourth Proportional to 448.68, 672.54 and 286.46

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Solution

The fourth proportional to 448.68, 672.54 and 286.46 is: 429.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.68 : 672.54 = 286.46 : x
  2. Step 2: Convert to fraction form
    448.68/672.54 = 286.46/x
  3. Step 3: Cross multiply
    448.68x = 672.54 × 286.46
  4. Step 4: Simplify right side
    448.68x = 192,655.81
  5. Step 5: Solve for x
    x = 192,655.81/448.68
  6. Step 6: Final answer
    x = 429.38

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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.