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Finding the Fourth Proportional to 569.63, 785.28 and 403.78

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Solution

The fourth proportional to 569.63, 785.28 and 403.78 is: 556.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.63 : 785.28 = 403.78 : x
  2. Step 2: Convert to fraction form
    569.63/785.28 = 403.78/x
  3. Step 3: Cross multiply
    569.63x = 785.28 × 403.78
  4. Step 4: Simplify right side
    569.63x = 317,078.34
  5. Step 5: Solve for x
    x = 317,078.34/569.63
  6. Step 6: Final answer
    x = 556.64

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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.