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Finding the Fourth Proportional to 1,676.84, 2,515.08 and 522.68

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Solution

The fourth proportional to 1,676.84, 2,515.08 and 522.68 is: 783.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,676.84 : 2,515.08 = 522.68 : x
  2. Step 2: Convert to fraction form
    1,676.84/2,515.08 = 522.68/x
  3. Step 3: Cross multiply
    1,676.84x = 2,515.08 × 522.68
  4. Step 4: Simplify right side
    1,676.84x = 1,314,582.01
  5. Step 5: Solve for x
    x = 1,314,582.01/1,676.84
  6. Step 6: Final answer
    x = 783.96

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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.