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Finding the Fourth Proportional to 431.90, 593.57 and 404.57

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Solution

The fourth proportional to 431.90, 593.57 and 404.57 is: 556.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.90 : 593.57 = 404.57 : x
  2. Step 2: Convert to fraction form
    431.90/593.57 = 404.57/x
  3. Step 3: Cross multiply
    431.90x = 593.57 × 404.57
  4. Step 4: Simplify right side
    431.90x = 240,137.14
  5. Step 5: Solve for x
    x = 240,137.14/431.90
  6. Step 6: Final answer
    x = 556.00

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.