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Finding the Fourth Proportional to 563.61, 846.32 and 424.80

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Solution

The fourth proportional to 563.61, 846.32 and 424.80 is: 637.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.61 : 846.32 = 424.80 : x
  2. Step 2: Convert to fraction form
    563.61/846.32 = 424.80/x
  3. Step 3: Cross multiply
    563.61x = 846.32 × 424.80
  4. Step 4: Simplify right side
    563.61x = 359,514.61
  5. Step 5: Solve for x
    x = 359,514.61/563.61
  6. Step 6: Final answer
    x = 637.88

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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.