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Finding the Fourth Proportional to 615.49, 849.70 and 416.46

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Solution

The fourth proportional to 615.49, 849.70 and 416.46 is: 574.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.49 : 849.70 = 416.46 : x
  2. Step 2: Convert to fraction form
    615.49/849.70 = 416.46/x
  3. Step 3: Cross multiply
    615.49x = 849.70 × 416.46
  4. Step 4: Simplify right side
    615.49x = 353,866.06
  5. Step 5: Solve for x
    x = 353,866.06/615.49
  6. Step 6: Final answer
    x = 574.93

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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.