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Finding the Fourth Proportional to 569.61, 785.97 and 320.87

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Solution

The fourth proportional to 569.61, 785.97 and 320.87 is: 442.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.61 : 785.97 = 320.87 : x
  2. Step 2: Convert to fraction form
    569.61/785.97 = 320.87/x
  3. Step 3: Cross multiply
    569.61x = 785.97 × 320.87
  4. Step 4: Simplify right side
    569.61x = 252,196.16
  5. Step 5: Solve for x
    x = 252,196.16/569.61
  6. Step 6: Final answer
    x = 442.75

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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.