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Finding the Fourth Proportional to 569.44, 785.72 and 320.77

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Solution

The fourth proportional to 569.44, 785.72 and 320.77 is: 442.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.44 : 785.72 = 320.77 : x
  2. Step 2: Convert to fraction form
    569.44/785.72 = 320.77/x
  3. Step 3: Cross multiply
    569.44x = 785.72 × 320.77
  4. Step 4: Simplify right side
    569.44x = 252,035.40
  5. Step 5: Solve for x
    x = 252,035.40/569.44
  6. Step 6: Final answer
    x = 442.60

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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.