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Finding the Fourth Proportional to 451.04, 672.06 and 402.57

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Solution

The fourth proportional to 451.04, 672.06 and 402.57 is: 599.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.04 : 672.06 = 402.57 : x
  2. Step 2: Convert to fraction form
    451.04/672.06 = 402.57/x
  3. Step 3: Cross multiply
    451.04x = 672.06 × 402.57
  4. Step 4: Simplify right side
    451.04x = 270,551.19
  5. Step 5: Solve for x
    x = 270,551.19/451.04
  6. Step 6: Final answer
    x = 599.85

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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.