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Finding the Fourth Proportional to 1,072.80, 1,609.71 and 524.69

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Solution

The fourth proportional to 1,072.80, 1,609.71 and 524.69 is: 787.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.80 : 1,609.71 = 524.69 : x
  2. Step 2: Convert to fraction form
    1,072.80/1,609.71 = 524.69/x
  3. Step 3: Cross multiply
    1,072.80x = 1,609.71 × 524.69
  4. Step 4: Simplify right side
    1,072.80x = 844,590.69
  5. Step 5: Solve for x
    x = 844,590.69/1,072.80
  6. Step 6: Final answer
    x = 787.28

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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.