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Finding the Fourth Proportional to 569.76, 784.29 and 491.33

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Solution

The fourth proportional to 569.76, 784.29 and 491.33 is: 676.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.76 : 784.29 = 491.33 : x
  2. Step 2: Convert to fraction form
    569.76/784.29 = 491.33/x
  3. Step 3: Cross multiply
    569.76x = 784.29 × 491.33
  4. Step 4: Simplify right side
    569.76x = 385,346.25
  5. Step 5: Solve for x
    x = 385,346.25/569.76
  6. Step 6: Final answer
    x = 676.34

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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.