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Finding the Fourth Proportional to 433.85, 597.49 and 302.63

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Solution

The fourth proportional to 433.85, 597.49 and 302.63 is: 416.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.85 : 597.49 = 302.63 : x
  2. Step 2: Convert to fraction form
    433.85/597.49 = 302.63/x
  3. Step 3: Cross multiply
    433.85x = 597.49 × 302.63
  4. Step 4: Simplify right side
    433.85x = 180,814.65
  5. Step 5: Solve for x
    x = 180,814.65/433.85
  6. Step 6: Final answer
    x = 416.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.