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Finding the Fourth Proportional to 615.26, 848.68 and 405.46

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Solution

The fourth proportional to 615.26, 848.68 and 405.46 is: 559.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.26 : 848.68 = 405.46 : x
  2. Step 2: Convert to fraction form
    615.26/848.68 = 405.46/x
  3. Step 3: Cross multiply
    615.26x = 848.68 × 405.46
  4. Step 4: Simplify right side
    615.26x = 344,105.79
  5. Step 5: Solve for x
    x = 344,105.79/615.26
  6. Step 6: Final answer
    x = 559.29

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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.