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Finding the Fourth Proportional to 405.85, 604.26 and 400.10

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Solution

The fourth proportional to 405.85, 604.26 and 400.10 is: 595.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.85 : 604.26 = 400.10 : x
  2. Step 2: Convert to fraction form
    405.85/604.26 = 400.10/x
  3. Step 3: Cross multiply
    405.85x = 604.26 × 400.10
  4. Step 4: Simplify right side
    405.85x = 241,764.43
  5. Step 5: Solve for x
    x = 241,764.43/405.85
  6. Step 6: Final answer
    x = 595.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.