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Finding the Fourth Proportional to 569.20, 784.32 and 471.28

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Solution

The fourth proportional to 569.20, 784.32 and 471.28 is: 649.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.20 : 784.32 = 471.28 : x
  2. Step 2: Convert to fraction form
    569.20/784.32 = 471.28/x
  3. Step 3: Cross multiply
    569.20x = 784.32 × 471.28
  4. Step 4: Simplify right side
    569.20x = 369,634.33
  5. Step 5: Solve for x
    x = 369,634.33/569.20
  6. Step 6: Final answer
    x = 649.39

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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.