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Finding the Fourth Proportional to 615.49, 848.79 and 413.24

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Solution

The fourth proportional to 615.49, 848.79 and 413.24 is: 569.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.49 : 848.79 = 413.24 : x
  2. Step 2: Convert to fraction form
    615.49/848.79 = 413.24/x
  3. Step 3: Cross multiply
    615.49x = 848.79 × 413.24
  4. Step 4: Simplify right side
    615.49x = 350,753.98
  5. Step 5: Solve for x
    x = 350,753.98/615.49
  6. Step 6: Final answer
    x = 569.88

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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.