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Finding the Fourth Proportional to 782.14, 1,078.50 and 593.50

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Solution

The fourth proportional to 782.14, 1,078.50 and 593.50 is: 818.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.14 : 1,078.50 = 593.50 : x
  2. Step 2: Convert to fraction form
    782.14/1,078.50 = 593.50/x
  3. Step 3: Cross multiply
    782.14x = 1,078.50 × 593.50
  4. Step 4: Simplify right side
    782.14x = 640,089.75
  5. Step 5: Solve for x
    x = 640,089.75/782.14
  6. Step 6: Final answer
    x = 818.38

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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.