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Finding the Fourth Proportional to 584.84, 872.98 and 515.64

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Solution

The fourth proportional to 584.84, 872.98 and 515.64 is: 769.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.84 : 872.98 = 515.64 : x
  2. Step 2: Convert to fraction form
    584.84/872.98 = 515.64/x
  3. Step 3: Cross multiply
    584.84x = 872.98 × 515.64
  4. Step 4: Simplify right side
    584.84x = 450,142.12
  5. Step 5: Solve for x
    x = 450,142.12/584.84
  6. Step 6: Final answer
    x = 769.68

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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.