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Finding the Fourth Proportional to 584.68, 873.08 and 514.72

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Solution

The fourth proportional to 584.68, 873.08 and 514.72 is: 768.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.68 : 873.08 = 514.72 : x
  2. Step 2: Convert to fraction form
    584.68/873.08 = 514.72/x
  3. Step 3: Cross multiply
    584.68x = 873.08 × 514.72
  4. Step 4: Simplify right side
    584.68x = 449,391.74
  5. Step 5: Solve for x
    x = 449,391.74/584.68
  6. Step 6: Final answer
    x = 768.61

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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.