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Finding the Fourth Proportional to 563.07, 844.62 and 418.89

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Solution

The fourth proportional to 563.07, 844.62 and 418.89 is: 628.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.07 : 844.62 = 418.89 : x
  2. Step 2: Convert to fraction form
    563.07/844.62 = 418.89/x
  3. Step 3: Cross multiply
    563.07x = 844.62 × 418.89
  4. Step 4: Simplify right side
    563.07x = 353,802.87
  5. Step 5: Solve for x
    x = 353,802.87/563.07
  6. Step 6: Final answer
    x = 628.35

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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.