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Finding the Fourth Proportional to 569.06, 785.06 and 320.28

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Solution

The fourth proportional to 569.06, 785.06 and 320.28 is: 441.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.06 : 785.06 = 320.28 : x
  2. Step 2: Convert to fraction form
    569.06/785.06 = 320.28/x
  3. Step 3: Cross multiply
    569.06x = 785.06 × 320.28
  4. Step 4: Simplify right side
    569.06x = 251,437.42
  5. Step 5: Solve for x
    x = 251,437.42/569.06
  6. Step 6: Final answer
    x = 441.85

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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.