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Finding the Fourth Proportional to 569.55, 780.85 and 559.17

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Solution

The fourth proportional to 569.55, 780.85 and 559.17 is: 766.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.55 : 780.85 = 559.17 : x
  2. Step 2: Convert to fraction form
    569.55/780.85 = 559.17/x
  3. Step 3: Cross multiply
    569.55x = 780.85 × 559.17
  4. Step 4: Simplify right side
    569.55x = 436,629.47
  5. Step 5: Solve for x
    x = 436,629.47/569.55
  6. Step 6: Final answer
    x = 766.62

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.