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Finding the Fourth Proportional to 569.60, 785.97 and 320.91

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Solution

The fourth proportional to 569.60, 785.97 and 320.91 is: 442.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.60 : 785.97 = 320.91 : x
  2. Step 2: Convert to fraction form
    569.60/785.97 = 320.91/x
  3. Step 3: Cross multiply
    569.60x = 785.97 × 320.91
  4. Step 4: Simplify right side
    569.60x = 252,228.58
  5. Step 5: Solve for x
    x = 252,228.58/569.60
  6. Step 6: Final answer
    x = 442.82

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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.