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Finding the Fourth Proportional to 618.63, 924.52 and 496.32

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Solution

The fourth proportional to 618.63, 924.52 and 496.32 is: 741.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.63 : 924.52 = 496.32 : x
  2. Step 2: Convert to fraction form
    618.63/924.52 = 496.32/x
  3. Step 3: Cross multiply
    618.63x = 924.52 × 496.32
  4. Step 4: Simplify right side
    618.63x = 458,857.77
  5. Step 5: Solve for x
    x = 458,857.77/618.63
  6. Step 6: Final answer
    x = 741.73

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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.