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Finding the Fourth Proportional to 1,136.34, 1,568.25 and 857.52

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Solution

The fourth proportional to 1,136.34, 1,568.25 and 857.52 is: 1,183.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,136.34 : 1,568.25 = 857.52 : x
  2. Step 2: Convert to fraction form
    1,136.34/1,568.25 = 857.52/x
  3. Step 3: Cross multiply
    1,136.34x = 1,568.25 × 857.52
  4. Step 4: Simplify right side
    1,136.34x = 1,344,805.74
  5. Step 5: Solve for x
    x = 1,344,805.74/1,136.34
  6. Step 6: Final answer
    x = 1,183.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.