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Finding the Fourth Proportional to 569.53, 785.90 and 382.93

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Solution

The fourth proportional to 569.53, 785.90 and 382.93 is: 528.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.53 : 785.90 = 382.93 : x
  2. Step 2: Convert to fraction form
    569.53/785.90 = 382.93/x
  3. Step 3: Cross multiply
    569.53x = 785.90 × 382.93
  4. Step 4: Simplify right side
    569.53x = 300,943.68
  5. Step 5: Solve for x
    x = 300,943.68/569.53
  6. Step 6: Final answer
    x = 528.41

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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.