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Finding the Fourth Proportional to 569.15, 785.34 and 320.42

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Solution

The fourth proportional to 569.15, 785.34 and 320.42 is: 442.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.15 : 785.34 = 320.42 : x
  2. Step 2: Convert to fraction form
    569.15/785.34 = 320.42/x
  3. Step 3: Cross multiply
    569.15x = 785.34 × 320.42
  4. Step 4: Simplify right side
    569.15x = 251,636.68
  5. Step 5: Solve for x
    x = 251,636.68/569.15
  6. Step 6: Final answer
    x = 442.13

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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.