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Finding the Fourth Proportional to 569.42, 785.90 and 403.64

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Solution

The fourth proportional to 569.42, 785.90 and 403.64 is: 557.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.42 : 785.90 = 403.64 : x
  2. Step 2: Convert to fraction form
    569.42/785.90 = 403.64/x
  3. Step 3: Cross multiply
    569.42x = 785.90 × 403.64
  4. Step 4: Simplify right side
    569.42x = 317,220.68
  5. Step 5: Solve for x
    x = 317,220.68/569.42
  6. Step 6: Final answer
    x = 557.09

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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.