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Finding the Fourth Proportional to 569.59, 786.05 and 320.89

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Solution

The fourth proportional to 569.59, 786.05 and 320.89 is: 442.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.59 : 786.05 = 320.89 : x
  2. Step 2: Convert to fraction form
    569.59/786.05 = 320.89/x
  3. Step 3: Cross multiply
    569.59x = 786.05 × 320.89
  4. Step 4: Simplify right side
    569.59x = 252,237.04
  5. Step 5: Solve for x
    x = 252,237.04/569.59
  6. Step 6: Final answer
    x = 442.84

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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.