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Finding the Fourth Proportional to 563.08, 840.41 and 480.28

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Solution

The fourth proportional to 563.08, 840.41 and 480.28 is: 716.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.08 : 840.41 = 480.28 : x
  2. Step 2: Convert to fraction form
    563.08/840.41 = 480.28/x
  3. Step 3: Cross multiply
    563.08x = 840.41 × 480.28
  4. Step 4: Simplify right side
    563.08x = 403,632.11
  5. Step 5: Solve for x
    x = 403,632.11/563.08
  6. Step 6: Final answer
    x = 716.83

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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.