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Finding the Fourth Proportional to 1,264, 1,896.72 and 580

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Solution

The fourth proportional to 1,264, 1,896.72 and 580 is: 870.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264 : 1,896.72 = 580 : x
  2. Step 2: Convert to fraction form
    1,264/1,896.72 = 580/x
  3. Step 3: Cross multiply
    1,264x = 1,896.72 × 580
  4. Step 4: Simplify right side
    1,264x = 1,100,097.60
  5. Step 5: Solve for x
    x = 1,100,097.60/1,264
  6. Step 6: Final answer
    x = 870.33

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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.