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Finding the Fourth Proportional to 618.56, 924.12 and 547.20

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Solution

The fourth proportional to 618.56, 924.12 and 547.20 is: 817.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.56 : 924.12 = 547.20 : x
  2. Step 2: Convert to fraction form
    618.56/924.12 = 547.20/x
  3. Step 3: Cross multiply
    618.56x = 924.12 × 547.20
  4. Step 4: Simplify right side
    618.56x = 505,678.46
  5. Step 5: Solve for x
    x = 505,678.46/618.56
  6. Step 6: Final answer
    x = 817.51

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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.