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Finding the Fourth Proportional to 563.40, 778.42 and 437.88

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Solution

The fourth proportional to 563.40, 778.42 and 437.88 is: 605.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.40 : 778.42 = 437.88 : x
  2. Step 2: Convert to fraction form
    563.40/778.42 = 437.88/x
  3. Step 3: Cross multiply
    563.40x = 778.42 × 437.88
  4. Step 4: Simplify right side
    563.40x = 340,854.55
  5. Step 5: Solve for x
    x = 340,854.55/563.40
  6. Step 6: Final answer
    x = 605.00

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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.