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Finding the Fourth Proportional to 618.95, 924.79 and 597.42

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Solution

The fourth proportional to 618.95, 924.79 and 597.42 is: 892.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.95 : 924.79 = 597.42 : x
  2. Step 2: Convert to fraction form
    618.95/924.79 = 597.42/x
  3. Step 3: Cross multiply
    618.95x = 924.79 × 597.42
  4. Step 4: Simplify right side
    618.95x = 552,488.04
  5. Step 5: Solve for x
    x = 552,488.04/618.95
  6. Step 6: Final answer
    x = 892.62

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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.