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Finding the Fourth Proportional to 569.09, 785.36 and 320.40

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Solution

The fourth proportional to 569.09, 785.36 and 320.40 is: 442.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.09 : 785.36 = 320.40 : x
  2. Step 2: Convert to fraction form
    569.09/785.36 = 320.40/x
  3. Step 3: Cross multiply
    569.09x = 785.36 × 320.40
  4. Step 4: Simplify right side
    569.09x = 251,629.34
  5. Step 5: Solve for x
    x = 251,629.34/569.09
  6. Step 6: Final answer
    x = 442.16

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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.