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Finding the Fourth Proportional to 563.60, 846.88 and 459.84

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Solution

The fourth proportional to 563.60, 846.88 and 459.84 is: 690.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.60 : 846.88 = 459.84 : x
  2. Step 2: Convert to fraction form
    563.60/846.88 = 459.84/x
  3. Step 3: Cross multiply
    563.60x = 846.88 × 459.84
  4. Step 4: Simplify right side
    563.60x = 389,429.30
  5. Step 5: Solve for x
    x = 389,429.30/563.60
  6. Step 6: Final answer
    x = 690.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.