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Finding the Fourth Proportional to 563.36, 777.48 and 489.92

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Solution

The fourth proportional to 563.36, 777.48 and 489.92 is: 676.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.36 : 777.48 = 489.92 : x
  2. Step 2: Convert to fraction form
    563.36/777.48 = 489.92/x
  3. Step 3: Cross multiply
    563.36x = 777.48 × 489.92
  4. Step 4: Simplify right side
    563.36x = 380,903.00
  5. Step 5: Solve for x
    x = 380,903.00/563.36
  6. Step 6: Final answer
    x = 676.13

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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.