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Finding the Fourth Proportional to 1,052.52, 1,584.90 and 780.54

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Solution

The fourth proportional to 1,052.52, 1,584.90 and 780.54 is: 1,175.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.52 : 1,584.90 = 780.54 : x
  2. Step 2: Convert to fraction form
    1,052.52/1,584.90 = 780.54/x
  3. Step 3: Cross multiply
    1,052.52x = 1,584.90 × 780.54
  4. Step 4: Simplify right side
    1,052.52x = 1,237,077.85
  5. Step 5: Solve for x
    x = 1,237,077.85/1,052.52
  6. Step 6: Final answer
    x = 1,175.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.