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Finding the Fourth Proportional to 618.17, 924.62 and 453.74

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Solution

The fourth proportional to 618.17, 924.62 and 453.74 is: 678.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.17 : 924.62 = 453.74 : x
  2. Step 2: Convert to fraction form
    618.17/924.62 = 453.74/x
  3. Step 3: Cross multiply
    618.17x = 924.62 × 453.74
  4. Step 4: Simplify right side
    618.17x = 419,530.19
  5. Step 5: Solve for x
    x = 419,530.19/618.17
  6. Step 6: Final answer
    x = 678.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.