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Finding the Fourth Proportional to 651.75, 900.15 and 431.67

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Solution

The fourth proportional to 651.75, 900.15 and 431.67 is: 596.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.75 : 900.15 = 431.67 : x
  2. Step 2: Convert to fraction form
    651.75/900.15 = 431.67/x
  3. Step 3: Cross multiply
    651.75x = 900.15 × 431.67
  4. Step 4: Simplify right side
    651.75x = 388,567.75
  5. Step 5: Solve for x
    x = 388,567.75/651.75
  6. Step 6: Final answer
    x = 596.19

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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.