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Finding the Fourth Proportional to 618.84, 924.44 and 497.34

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Solution

The fourth proportional to 618.84, 924.44 and 497.34 is: 742.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.84 : 924.44 = 497.34 : x
  2. Step 2: Convert to fraction form
    618.84/924.44 = 497.34/x
  3. Step 3: Cross multiply
    618.84x = 924.44 × 497.34
  4. Step 4: Simplify right side
    618.84x = 459,758.50
  5. Step 5: Solve for x
    x = 459,758.50/618.84
  6. Step 6: Final answer
    x = 742.94

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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.