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Finding the Fourth Proportional to 1,047.28, 1,569.42 and 991.84

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Solution

The fourth proportional to 1,047.28, 1,569.42 and 991.84 is: 1,486.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.28 : 1,569.42 = 991.84 : x
  2. Step 2: Convert to fraction form
    1,047.28/1,569.42 = 991.84/x
  3. Step 3: Cross multiply
    1,047.28x = 1,569.42 × 991.84
  4. Step 4: Simplify right side
    1,047.28x = 1,556,613.53
  5. Step 5: Solve for x
    x = 1,556,613.53/1,047.28
  6. Step 6: Final answer
    x = 1,486.34

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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.