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Finding the Fourth Proportional to 431.94, 592.83 and 399.06

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Solution

The fourth proportional to 431.94, 592.83 and 399.06 is: 547.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.94 : 592.83 = 399.06 : x
  2. Step 2: Convert to fraction form
    431.94/592.83 = 399.06/x
  3. Step 3: Cross multiply
    431.94x = 592.83 × 399.06
  4. Step 4: Simplify right side
    431.94x = 236,574.74
  5. Step 5: Solve for x
    x = 236,574.74/431.94
  6. Step 6: Final answer
    x = 547.70

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.