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Finding the Fourth Proportional to 569.59, 785.08 and 403.59

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Solution

The fourth proportional to 569.59, 785.08 and 403.59 is: 556.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.59 : 785.08 = 403.59 : x
  2. Step 2: Convert to fraction form
    569.59/785.08 = 403.59/x
  3. Step 3: Cross multiply
    569.59x = 785.08 × 403.59
  4. Step 4: Simplify right side
    569.59x = 316,850.44
  5. Step 5: Solve for x
    x = 316,850.44/569.59
  6. Step 6: Final answer
    x = 556.28

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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.