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Finding the Fourth Proportional to 618, 922.26 and 552.32

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Solution

The fourth proportional to 618, 922.26 and 552.32 is: 824.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    618 : 922.26 = 552.32 : x
  2. Step 2: Convert to fraction form
    618/922.26 = 552.32/x
  3. Step 3: Cross multiply
    618x = 922.26 × 552.32
  4. Step 4: Simplify right side
    618x = 509,382.64
  5. Step 5: Solve for x
    x = 509,382.64/618
  6. Step 6: Final answer
    x = 824.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.