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Finding the Fourth Proportional to 431.90, 651.07 and 403.68

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Solution

The fourth proportional to 431.90, 651.07 and 403.68 is: 608.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.90 : 651.07 = 403.68 : x
  2. Step 2: Convert to fraction form
    431.90/651.07 = 403.68/x
  3. Step 3: Cross multiply
    431.90x = 651.07 × 403.68
  4. Step 4: Simplify right side
    431.90x = 262,826.88
  5. Step 5: Solve for x
    x = 262,826.88/431.90
  6. Step 6: Final answer
    x = 608.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.