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Finding the Fourth Proportional to 569.37, 785.60 and 436.75

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Solution

The fourth proportional to 569.37, 785.60 and 436.75 is: 602.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.37 : 785.60 = 436.75 : x
  2. Step 2: Convert to fraction form
    569.37/785.60 = 436.75/x
  3. Step 3: Cross multiply
    569.37x = 785.60 × 436.75
  4. Step 4: Simplify right side
    569.37x = 343,110.80
  5. Step 5: Solve for x
    x = 343,110.80/569.37
  6. Step 6: Final answer
    x = 602.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.