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Finding the Fourth Proportional to 569.17, 785.68 and 383.19

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Solution

The fourth proportional to 569.17, 785.68 and 383.19 is: 528.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.17 : 785.68 = 383.19 : x
  2. Step 2: Convert to fraction form
    569.17/785.68 = 383.19/x
  3. Step 3: Cross multiply
    569.17x = 785.68 × 383.19
  4. Step 4: Simplify right side
    569.17x = 301,065.73
  5. Step 5: Solve for x
    x = 301,065.73/569.17
  6. Step 6: Final answer
    x = 528.95

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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.