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Finding the Fourth Proportional to 569.38, 785.64 and 383.17

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Solution

The fourth proportional to 569.38, 785.64 and 383.17 is: 528.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.38 : 785.64 = 383.17 : x
  2. Step 2: Convert to fraction form
    569.38/785.64 = 383.17/x
  3. Step 3: Cross multiply
    569.38x = 785.64 × 383.17
  4. Step 4: Simplify right side
    569.38x = 301,033.68
  5. Step 5: Solve for x
    x = 301,033.68/569.38
  6. Step 6: Final answer
    x = 528.70

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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.