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Finding the Fourth Proportional to 615.14, 848.61 and 415.90

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Solution

The fourth proportional to 615.14, 848.61 and 415.90 is: 573.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.14 : 848.61 = 415.90 : x
  2. Step 2: Convert to fraction form
    615.14/848.61 = 415.90/x
  3. Step 3: Cross multiply
    615.14x = 848.61 × 415.90
  4. Step 4: Simplify right side
    615.14x = 352,936.90
  5. Step 5: Solve for x
    x = 352,936.90/615.14
  6. Step 6: Final answer
    x = 573.75

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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.