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Finding the Fourth Proportional to 569.32, 784.80 and 411.88

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Solution

The fourth proportional to 569.32, 784.80 and 411.88 is: 567.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.32 : 784.80 = 411.88 : x
  2. Step 2: Convert to fraction form
    569.32/784.80 = 411.88/x
  3. Step 3: Cross multiply
    569.32x = 784.80 × 411.88
  4. Step 4: Simplify right side
    569.32x = 323,243.42
  5. Step 5: Solve for x
    x = 323,243.42/569.32
  6. Step 6: Final answer
    x = 567.77

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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.