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Finding the Fourth Proportional to 423.75, 585.09 and 313.50

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Solution

The fourth proportional to 423.75, 585.09 and 313.50 is: 432.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.75 : 585.09 = 313.50 : x
  2. Step 2: Convert to fraction form
    423.75/585.09 = 313.50/x
  3. Step 3: Cross multiply
    423.75x = 585.09 × 313.50
  4. Step 4: Simplify right side
    423.75x = 183,425.72
  5. Step 5: Solve for x
    x = 183,425.72/423.75
  6. Step 6: Final answer
    x = 432.86

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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.