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Finding the Fourth Proportional to 567.81, 784.52 and 505.09

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Solution

The fourth proportional to 567.81, 784.52 and 505.09 is: 697.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.81 : 784.52 = 505.09 : x
  2. Step 2: Convert to fraction form
    567.81/784.52 = 505.09/x
  3. Step 3: Cross multiply
    567.81x = 784.52 × 505.09
  4. Step 4: Simplify right side
    567.81x = 396,253.21
  5. Step 5: Solve for x
    x = 396,253.21/567.81
  6. Step 6: Final answer
    x = 697.86

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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.