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Finding the Fourth Proportional to 433.48, 598.44 and 409.72

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Solution

The fourth proportional to 433.48, 598.44 and 409.72 is: 565.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.48 : 598.44 = 409.72 : x
  2. Step 2: Convert to fraction form
    433.48/598.44 = 409.72/x
  3. Step 3: Cross multiply
    433.48x = 598.44 × 409.72
  4. Step 4: Simplify right side
    433.48x = 245,192.84
  5. Step 5: Solve for x
    x = 245,192.84/433.48
  6. Step 6: Final answer
    x = 565.64

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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.