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Finding the Fourth Proportional to 423.91, 585.35 and 314.56

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Solution

The fourth proportional to 423.91, 585.35 and 314.56 is: 434.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.91 : 585.35 = 314.56 : x
  2. Step 2: Convert to fraction form
    423.91/585.35 = 314.56/x
  3. Step 3: Cross multiply
    423.91x = 585.35 × 314.56
  4. Step 4: Simplify right side
    423.91x = 184,127.70
  5. Step 5: Solve for x
    x = 184,127.70/423.91
  6. Step 6: Final answer
    x = 434.36

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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.