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Finding the Fourth Proportional to 563.13, 777.15 and 330.26

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Solution

The fourth proportional to 563.13, 777.15 and 330.26 is: 455.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.13 : 777.15 = 330.26 : x
  2. Step 2: Convert to fraction form
    563.13/777.15 = 330.26/x
  3. Step 3: Cross multiply
    563.13x = 777.15 × 330.26
  4. Step 4: Simplify right side
    563.13x = 256,657.67
  5. Step 5: Solve for x
    x = 256,657.67/563.13
  6. Step 6: Final answer
    x = 455.77

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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.