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Finding the Fourth Proportional to 563.26, 777.03 and 485.50

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Solution

The fourth proportional to 563.26, 777.03 and 485.50 is: 669.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.26 : 777.03 = 485.50 : x
  2. Step 2: Convert to fraction form
    563.26/777.03 = 485.50/x
  3. Step 3: Cross multiply
    563.26x = 777.03 × 485.50
  4. Step 4: Simplify right side
    563.26x = 377,248.07
  5. Step 5: Solve for x
    x = 377,248.07/563.26
  6. Step 6: Final answer
    x = 669.76

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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.