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Finding the Fourth Proportional to 858.41, 1,183.37 and 563.17

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Solution

The fourth proportional to 858.41, 1,183.37 and 563.17 is: 776.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.41 : 1,183.37 = 563.17 : x
  2. Step 2: Convert to fraction form
    858.41/1,183.37 = 563.17/x
  3. Step 3: Cross multiply
    858.41x = 1,183.37 × 563.17
  4. Step 4: Simplify right side
    858.41x = 666,438.48
  5. Step 5: Solve for x
    x = 666,438.48/858.41
  6. Step 6: Final answer
    x = 776.36

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Double scale
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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.