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Finding the Fourth Proportional to 573.15, 780.78 and 573.15

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Solution

The fourth proportional to 573.15, 780.78 and 573.15 is: 780.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.15 : 780.78 = 573.15 : x
  2. Step 2: Convert to fraction form
    573.15/780.78 = 573.15/x
  3. Step 3: Cross multiply
    573.15x = 780.78 × 573.15
  4. Step 4: Simplify right side
    573.15x = 447,504.06
  5. Step 5: Solve for x
    x = 447,504.06/573.15
  6. Step 6: Final answer
    x = 780.78

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.