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Finding the Fourth Proportional to 563.96, 839.60 and 561.26

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Solution

The fourth proportional to 563.96, 839.60 and 561.26 is: 835.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.96 : 839.60 = 561.26 : x
  2. Step 2: Convert to fraction form
    563.96/839.60 = 561.26/x
  3. Step 3: Cross multiply
    563.96x = 839.60 × 561.26
  4. Step 4: Simplify right side
    563.96x = 471,233.90
  5. Step 5: Solve for x
    x = 471,233.90/563.96
  6. Step 6: Final answer
    x = 835.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.