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Finding the Fourth Proportional to 563.20, 840.26 and 501.64

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Solution

The fourth proportional to 563.20, 840.26 and 501.64 is: 748.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.20 : 840.26 = 501.64 : x
  2. Step 2: Convert to fraction form
    563.20/840.26 = 501.64/x
  3. Step 3: Cross multiply
    563.20x = 840.26 × 501.64
  4. Step 4: Simplify right side
    563.20x = 421,508.03
  5. Step 5: Solve for x
    x = 421,508.03/563.20
  6. Step 6: Final answer
    x = 748.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.