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Finding the Fourth Proportional to 431.07, 595.01 and 409.03

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Solution

The fourth proportional to 431.07, 595.01 and 409.03 is: 564.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.07 : 595.01 = 409.03 : x
  2. Step 2: Convert to fraction form
    431.07/595.01 = 409.03/x
  3. Step 3: Cross multiply
    431.07x = 595.01 × 409.03
  4. Step 4: Simplify right side
    431.07x = 243,372.94
  5. Step 5: Solve for x
    x = 243,372.94/431.07
  6. Step 6: Final answer
    x = 564.58

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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.