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Finding the Fourth Proportional to 569.34, 791.10 and 562.50

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Solution

The fourth proportional to 569.34, 791.10 and 562.50 is: 781.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.34 : 791.10 = 562.50 : x
  2. Step 2: Convert to fraction form
    569.34/791.10 = 562.50/x
  3. Step 3: Cross multiply
    569.34x = 791.10 × 562.50
  4. Step 4: Simplify right side
    569.34x = 444,993.75
  5. Step 5: Solve for x
    x = 444,993.75/569.34
  6. Step 6: Final answer
    x = 781.60

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.