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Finding the Fourth Proportional to 569.28, 784.56 and 421.68

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Solution

The fourth proportional to 569.28, 784.56 and 421.68 is: 581.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.28 : 784.56 = 421.68 : x
  2. Step 2: Convert to fraction form
    569.28/784.56 = 421.68/x
  3. Step 3: Cross multiply
    569.28x = 784.56 × 421.68
  4. Step 4: Simplify right side
    569.28x = 330,833.26
  5. Step 5: Solve for x
    x = 330,833.26/569.28
  6. Step 6: Final answer
    x = 581.14

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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.