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Finding the Fourth Proportional to 569.98, 781.44 and 559.60

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Solution

The fourth proportional to 569.98, 781.44 and 559.60 is: 767.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.98 : 781.44 = 559.60 : x
  2. Step 2: Convert to fraction form
    569.98/781.44 = 559.60/x
  3. Step 3: Cross multiply
    569.98x = 781.44 × 559.60
  4. Step 4: Simplify right side
    569.98x = 437,291.87
  5. Step 5: Solve for x
    x = 437,291.87/569.98
  6. Step 6: Final answer
    x = 767.21

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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.