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Finding the Fourth Proportional to 451.76, 672.96 and 438.16

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Solution

The fourth proportional to 451.76, 672.96 and 438.16 is: 652.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.76 : 672.96 = 438.16 : x
  2. Step 2: Convert to fraction form
    451.76/672.96 = 438.16/x
  3. Step 3: Cross multiply
    451.76x = 672.96 × 438.16
  4. Step 4: Simplify right side
    451.76x = 294,864.15
  5. Step 5: Solve for x
    x = 294,864.15/451.76
  6. Step 6: Final answer
    x = 652.70

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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.