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Finding the Fourth Proportional to 525.87, 786.74 and 464.31

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Solution

The fourth proportional to 525.87, 786.74 and 464.31 is: 694.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.87 : 786.74 = 464.31 : x
  2. Step 2: Convert to fraction form
    525.87/786.74 = 464.31/x
  3. Step 3: Cross multiply
    525.87x = 786.74 × 464.31
  4. Step 4: Simplify right side
    525.87x = 365,288.93
  5. Step 5: Solve for x
    x = 365,288.93/525.87
  6. Step 6: Final answer
    x = 694.64

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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.