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Finding the Fourth Proportional to 569.50, 785.77 and 359.71

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Solution

The fourth proportional to 569.50, 785.77 and 359.71 is: 496.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.50 : 785.77 = 359.71 : x
  2. Step 2: Convert to fraction form
    569.50/785.77 = 359.71/x
  3. Step 3: Cross multiply
    569.50x = 785.77 × 359.71
  4. Step 4: Simplify right side
    569.50x = 282,646.46
  5. Step 5: Solve for x
    x = 282,646.46/569.50
  6. Step 6: Final answer
    x = 496.31

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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.