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Finding the Fourth Proportional to 615.38, 848.98 and 405.66

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Solution

The fourth proportional to 615.38, 848.98 and 405.66 is: 559.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.38 : 848.98 = 405.66 : x
  2. Step 2: Convert to fraction form
    615.38/848.98 = 405.66/x
  3. Step 3: Cross multiply
    615.38x = 848.98 × 405.66
  4. Step 4: Simplify right side
    615.38x = 344,397.23
  5. Step 5: Solve for x
    x = 344,397.23/615.38
  6. Step 6: Final answer
    x = 559.65

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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.