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Finding the Fourth Proportional to 611.78, 913.24 and 570.80

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Solution

The fourth proportional to 611.78, 913.24 and 570.80 is: 852.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.78 : 913.24 = 570.80 : x
  2. Step 2: Convert to fraction form
    611.78/913.24 = 570.80/x
  3. Step 3: Cross multiply
    611.78x = 913.24 × 570.80
  4. Step 4: Simplify right side
    611.78x = 521,277.39
  5. Step 5: Solve for x
    x = 521,277.39/611.78
  6. Step 6: Final answer
    x = 852.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.