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Finding the Fourth Proportional to 615.33, 926.84 and 534.06

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Solution

The fourth proportional to 615.33, 926.84 and 534.06 is: 804.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.33 : 926.84 = 534.06 : x
  2. Step 2: Convert to fraction form
    615.33/926.84 = 534.06/x
  3. Step 3: Cross multiply
    615.33x = 926.84 × 534.06
  4. Step 4: Simplify right side
    615.33x = 494,989.51
  5. Step 5: Solve for x
    x = 494,989.51/615.33
  6. Step 6: Final answer
    x = 804.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.