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Finding the Fourth Proportional to 563.62, 776.10 and 453.28

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Solution

The fourth proportional to 563.62, 776.10 and 453.28 is: 624.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.62 : 776.10 = 453.28 : x
  2. Step 2: Convert to fraction form
    563.62/776.10 = 453.28/x
  3. Step 3: Cross multiply
    563.62x = 776.10 × 453.28
  4. Step 4: Simplify right side
    563.62x = 351,790.61
  5. Step 5: Solve for x
    x = 351,790.61/563.62
  6. Step 6: Final answer
    x = 624.16

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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.