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Finding the Fourth Proportional to 423.86, 584.73 and 313.29

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Solution

The fourth proportional to 423.86, 584.73 and 313.29 is: 432.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.86 : 584.73 = 313.29 : x
  2. Step 2: Convert to fraction form
    423.86/584.73 = 313.29/x
  3. Step 3: Cross multiply
    423.86x = 584.73 × 313.29
  4. Step 4: Simplify right side
    423.86x = 183,190.06
  5. Step 5: Solve for x
    x = 183,190.06/423.86
  6. Step 6: Final answer
    x = 432.20

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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.