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Finding the Fourth Proportional to 451.12, 672.94 and 420.08

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Solution

The fourth proportional to 451.12, 672.94 and 420.08 is: 626.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.12 : 672.94 = 420.08 : x
  2. Step 2: Convert to fraction form
    451.12/672.94 = 420.08/x
  3. Step 3: Cross multiply
    451.12x = 672.94 × 420.08
  4. Step 4: Simplify right side
    451.12x = 282,688.64
  5. Step 5: Solve for x
    x = 282,688.64/451.12
  6. Step 6: Final answer
    x = 626.64

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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.