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Finding the Fourth Proportional to 568.71, 784.09 and 382.05

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Solution

The fourth proportional to 568.71, 784.09 and 382.05 is: 526.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.71 : 784.09 = 382.05 : x
  2. Step 2: Convert to fraction form
    568.71/784.09 = 382.05/x
  3. Step 3: Cross multiply
    568.71x = 784.09 × 382.05
  4. Step 4: Simplify right side
    568.71x = 299,565.00
  5. Step 5: Solve for x
    x = 299,565.00/568.71
  6. Step 6: Final answer
    x = 526.74

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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.