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Finding the Fourth Proportional to 675.23, 929.40 and 563.45

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Solution

The fourth proportional to 675.23, 929.40 and 563.45 is: 775.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.23 : 929.40 = 563.45 : x
  2. Step 2: Convert to fraction form
    675.23/929.40 = 563.45/x
  3. Step 3: Cross multiply
    675.23x = 929.40 × 563.45
  4. Step 4: Simplify right side
    675.23x = 523,670.43
  5. Step 5: Solve for x
    x = 523,670.43/675.23
  6. Step 6: Final answer
    x = 775.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.