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Finding the Fourth Proportional to 567.91, 784.11 and 437.23

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Solution

The fourth proportional to 567.91, 784.11 and 437.23 is: 603.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.91 : 784.11 = 437.23 : x
  2. Step 2: Convert to fraction form
    567.91/784.11 = 437.23/x
  3. Step 3: Cross multiply
    567.91x = 784.11 × 437.23
  4. Step 4: Simplify right side
    567.91x = 342,836.42
  5. Step 5: Solve for x
    x = 342,836.42/567.91
  6. Step 6: Final answer
    x = 603.68

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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.