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Finding the Fourth Proportional to 609.46, 841.06 and 340.28

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Solution

The fourth proportional to 609.46, 841.06 and 340.28 is: 469.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.46 : 841.06 = 340.28 : x
  2. Step 2: Convert to fraction form
    609.46/841.06 = 340.28/x
  3. Step 3: Cross multiply
    609.46x = 841.06 × 340.28
  4. Step 4: Simplify right side
    609.46x = 286,195.50
  5. Step 5: Solve for x
    x = 286,195.50/609.46
  6. Step 6: Final answer
    x = 469.59

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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.