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Finding the Fourth Proportional to 569.80, 852.54 and 377.80

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Solution

The fourth proportional to 569.80, 852.54 and 377.80 is: 565.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.80 : 852.54 = 377.80 : x
  2. Step 2: Convert to fraction form
    569.80/852.54 = 377.80/x
  3. Step 3: Cross multiply
    569.80x = 852.54 × 377.80
  4. Step 4: Simplify right side
    569.80x = 322,089.61
  5. Step 5: Solve for x
    x = 322,089.61/569.80
  6. Step 6: Final answer
    x = 565.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.