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Finding the Fourth Proportional to 788.17, 1,087.61 and 456.53

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Solution

The fourth proportional to 788.17, 1,087.61 and 456.53 is: 629.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.17 : 1,087.61 = 456.53 : x
  2. Step 2: Convert to fraction form
    788.17/1,087.61 = 456.53/x
  3. Step 3: Cross multiply
    788.17x = 1,087.61 × 456.53
  4. Step 4: Simplify right side
    788.17x = 496,524.31
  5. Step 5: Solve for x
    x = 496,524.31/788.17
  6. Step 6: Final answer
    x = 629.98

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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.