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Finding the Fourth Proportional to 425, 586.49 and 342.69

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Solution

The fourth proportional to 425, 586.49 and 342.69 is: 472.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    425 : 586.49 = 342.69 : x
  2. Step 2: Convert to fraction form
    425/586.49 = 342.69/x
  3. Step 3: Cross multiply
    425x = 586.49 × 342.69
  4. Step 4: Simplify right side
    425x = 200,984.26
  5. Step 5: Solve for x
    x = 200,984.26/425
  6. Step 6: Final answer
    x = 472.90

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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.