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Finding the Fourth Proportional to 563.52, 775.62 and 480.36

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Solution

The fourth proportional to 563.52, 775.62 and 480.36 is: 661.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.52 : 775.62 = 480.36 : x
  2. Step 2: Convert to fraction form
    563.52/775.62 = 480.36/x
  3. Step 3: Cross multiply
    563.52x = 775.62 × 480.36
  4. Step 4: Simplify right side
    563.52x = 372,576.82
  5. Step 5: Solve for x
    x = 372,576.82/563.52
  6. Step 6: Final answer
    x = 661.16

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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.