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Finding the Fourth Proportional to 576.65, 864.12 and 493.94

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Solution

The fourth proportional to 576.65, 864.12 and 493.94 is: 740.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.65 : 864.12 = 493.94 : x
  2. Step 2: Convert to fraction form
    576.65/864.12 = 493.94/x
  3. Step 3: Cross multiply
    576.65x = 864.12 × 493.94
  4. Step 4: Simplify right side
    576.65x = 426,823.43
  5. Step 5: Solve for x
    x = 426,823.43/576.65
  6. Step 6: Final answer
    x = 740.18

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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.