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Finding the Fourth Proportional to 451.90, 674.58 and 433.67

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Solution

The fourth proportional to 451.90, 674.58 and 433.67 is: 647.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.90 : 674.58 = 433.67 : x
  2. Step 2: Convert to fraction form
    451.90/674.58 = 433.67/x
  3. Step 3: Cross multiply
    451.90x = 674.58 × 433.67
  4. Step 4: Simplify right side
    451.90x = 292,545.11
  5. Step 5: Solve for x
    x = 292,545.11/451.90
  6. Step 6: Final answer
    x = 647.37

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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.