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Finding the Fourth Proportional to 431.34, 594.72 and 364.83

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Solution

The fourth proportional to 431.34, 594.72 and 364.83 is: 503.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.34 : 594.72 = 364.83 : x
  2. Step 2: Convert to fraction form
    431.34/594.72 = 364.83/x
  3. Step 3: Cross multiply
    431.34x = 594.72 × 364.83
  4. Step 4: Simplify right side
    431.34x = 216,971.70
  5. Step 5: Solve for x
    x = 216,971.70/431.34
  6. Step 6: Final answer
    x = 503.02

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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.