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Finding the Fourth Proportional to 563.48, 776.76 and 376.64

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Solution

The fourth proportional to 563.48, 776.76 and 376.64 is: 519.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.48 : 776.76 = 376.64 : x
  2. Step 2: Convert to fraction form
    563.48/776.76 = 376.64/x
  3. Step 3: Cross multiply
    563.48x = 776.76 × 376.64
  4. Step 4: Simplify right side
    563.48x = 292,558.89
  5. Step 5: Solve for x
    x = 292,558.89/563.48
  6. Step 6: Final answer
    x = 519.20

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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.