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Finding the Fourth Proportional to 1,147.28, 1,721.48 and 569.84

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Solution

The fourth proportional to 1,147.28, 1,721.48 and 569.84 is: 855.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.28 : 1,721.48 = 569.84 : x
  2. Step 2: Convert to fraction form
    1,147.28/1,721.48 = 569.84/x
  3. Step 3: Cross multiply
    1,147.28x = 1,721.48 × 569.84
  4. Step 4: Simplify right side
    1,147.28x = 980,968.16
  5. Step 5: Solve for x
    x = 980,968.16/1,147.28
  6. Step 6: Final answer
    x = 855.04

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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.