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Finding the Fourth Proportional to 433.42, 598.61 and 406.29

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Solution

The fourth proportional to 433.42, 598.61 and 406.29 is: 561.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.42 : 598.61 = 406.29 : x
  2. Step 2: Convert to fraction form
    433.42/598.61 = 406.29/x
  3. Step 3: Cross multiply
    433.42x = 598.61 × 406.29
  4. Step 4: Simplify right side
    433.42x = 243,209.26
  5. Step 5: Solve for x
    x = 243,209.26/433.42
  6. Step 6: Final answer
    x = 561.14

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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.