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Finding the Fourth Proportional to 780.11, 1,076.17 and 569.93

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Solution

The fourth proportional to 780.11, 1,076.17 and 569.93 is: 786.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.11 : 1,076.17 = 569.93 : x
  2. Step 2: Convert to fraction form
    780.11/1,076.17 = 569.93/x
  3. Step 3: Cross multiply
    780.11x = 1,076.17 × 569.93
  4. Step 4: Simplify right side
    780.11x = 613,338.72
  5. Step 5: Solve for x
    x = 613,338.72/780.11
  6. Step 6: Final answer
    x = 786.23

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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.