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Finding the Fourth Proportional to 487.45, 672.88 and 301.12

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Solution

The fourth proportional to 487.45, 672.88 and 301.12 is: 415.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.45 : 672.88 = 301.12 : x
  2. Step 2: Convert to fraction form
    487.45/672.88 = 301.12/x
  3. Step 3: Cross multiply
    487.45x = 672.88 × 301.12
  4. Step 4: Simplify right side
    487.45x = 202,617.63
  5. Step 5: Solve for x
    x = 202,617.63/487.45
  6. Step 6: Final answer
    x = 415.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.