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Finding the Fourth Proportional to 652.03, 976.10 and 420.23

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Solution

The fourth proportional to 652.03, 976.10 and 420.23 is: 629.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.03 : 976.10 = 420.23 : x
  2. Step 2: Convert to fraction form
    652.03/976.10 = 420.23/x
  3. Step 3: Cross multiply
    652.03x = 976.10 × 420.23
  4. Step 4: Simplify right side
    652.03x = 410,186.50
  5. Step 5: Solve for x
    x = 410,186.50/652.03
  6. Step 6: Final answer
    x = 629.09

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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.