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Finding the Fourth Proportional to 560.82, 843.16 and 453.36

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Solution

The fourth proportional to 560.82, 843.16 and 453.36 is: 681.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.82 : 843.16 = 453.36 : x
  2. Step 2: Convert to fraction form
    560.82/843.16 = 453.36/x
  3. Step 3: Cross multiply
    560.82x = 843.16 × 453.36
  4. Step 4: Simplify right side
    560.82x = 382,255.02
  5. Step 5: Solve for x
    x = 382,255.02/560.82
  6. Step 6: Final answer
    x = 681.60

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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.