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Finding the Fourth Proportional to 571.04, 787.89 and 322.37

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Solution

The fourth proportional to 571.04, 787.89 and 322.37 is: 444.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.04 : 787.89 = 322.37 : x
  2. Step 2: Convert to fraction form
    571.04/787.89 = 322.37/x
  3. Step 3: Cross multiply
    571.04x = 787.89 × 322.37
  4. Step 4: Simplify right side
    571.04x = 253,992.10
  5. Step 5: Solve for x
    x = 253,992.10/571.04
  6. Step 6: Final answer
    x = 444.79

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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.