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Finding the Fourth Proportional to 563.79, 846.75 and 442.90

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Solution

The fourth proportional to 563.79, 846.75 and 442.90 is: 665.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.79 : 846.75 = 442.90 : x
  2. Step 2: Convert to fraction form
    563.79/846.75 = 442.90/x
  3. Step 3: Cross multiply
    563.79x = 846.75 × 442.90
  4. Step 4: Simplify right side
    563.79x = 375,028.29
  5. Step 5: Solve for x
    x = 375,028.29/563.79
  6. Step 6: Final answer
    x = 665.19

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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.