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Finding the Fourth Proportional to 563.04, 839.04 and 535.20

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Solution

The fourth proportional to 563.04, 839.04 and 535.20 is: 797.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.04 : 839.04 = 535.20 : x
  2. Step 2: Convert to fraction form
    563.04/839.04 = 535.20/x
  3. Step 3: Cross multiply
    563.04x = 839.04 × 535.20
  4. Step 4: Simplify right side
    563.04x = 449,054.21
  5. Step 5: Solve for x
    x = 449,054.21/563.04
  6. Step 6: Final answer
    x = 797.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.