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Finding the Fourth Proportional to 610.24, 839.92 and 435.28

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Solution

The fourth proportional to 610.24, 839.92 and 435.28 is: 599.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.24 : 839.92 = 435.28 : x
  2. Step 2: Convert to fraction form
    610.24/839.92 = 435.28/x
  3. Step 3: Cross multiply
    610.24x = 839.92 × 435.28
  4. Step 4: Simplify right side
    610.24x = 365,600.38
  5. Step 5: Solve for x
    x = 365,600.38/610.24
  6. Step 6: Final answer
    x = 599.11

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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.