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Finding the Fourth Proportional to 788.15, 1,087.50 and 456.56

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Solution

The fourth proportional to 788.15, 1,087.50 and 456.56 is: 629.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.15 : 1,087.50 = 456.56 : x
  2. Step 2: Convert to fraction form
    788.15/1,087.50 = 456.56/x
  3. Step 3: Cross multiply
    788.15x = 1,087.50 × 456.56
  4. Step 4: Simplify right side
    788.15x = 496,503.56
  5. Step 5: Solve for x
    x = 496,503.56/788.15
  6. Step 6: Final answer
    x = 629.96

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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.