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Finding the Fourth Proportional to 780.10, 1,076.67 and 593.29

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Solution

The fourth proportional to 780.10, 1,076.67 and 593.29 is: 818.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.10 : 1,076.67 = 593.29 : x
  2. Step 2: Convert to fraction form
    780.10/1,076.67 = 593.29/x
  3. Step 3: Cross multiply
    780.10x = 1,076.67 × 593.29
  4. Step 4: Simplify right side
    780.10x = 638,777.54
  5. Step 5: Solve for x
    x = 638,777.54/780.10
  6. Step 6: Final answer
    x = 818.84

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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.