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Finding the Fourth Proportional to 437.51, 654.45 and 400.67

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Solution

The fourth proportional to 437.51, 654.45 and 400.67 is: 599.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.51 : 654.45 = 400.67 : x
  2. Step 2: Convert to fraction form
    437.51/654.45 = 400.67/x
  3. Step 3: Cross multiply
    437.51x = 654.45 × 400.67
  4. Step 4: Simplify right side
    437.51x = 262,218.48
  5. Step 5: Solve for x
    x = 262,218.48/437.51
  6. Step 6: Final answer
    x = 599.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.