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Finding the Fourth Proportional to 450.30, 672.15 and 417.32

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Solution

The fourth proportional to 450.30, 672.15 and 417.32 is: 622.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.30 : 672.15 = 417.32 : x
  2. Step 2: Convert to fraction form
    450.30/672.15 = 417.32/x
  3. Step 3: Cross multiply
    450.30x = 672.15 × 417.32
  4. Step 4: Simplify right side
    450.30x = 280,501.64
  5. Step 5: Solve for x
    x = 280,501.64/450.30
  6. Step 6: Final answer
    x = 622.92

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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.