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Finding the Fourth Proportional to 501.44, 690.81 and 452.30

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Solution

The fourth proportional to 501.44, 690.81 and 452.30 is: 623.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.44 : 690.81 = 452.30 : x
  2. Step 2: Convert to fraction form
    501.44/690.81 = 452.30/x
  3. Step 3: Cross multiply
    501.44x = 690.81 × 452.30
  4. Step 4: Simplify right side
    501.44x = 312,453.36
  5. Step 5: Solve for x
    x = 312,453.36/501.44
  6. Step 6: Final answer
    x = 623.11

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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.