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Finding the Fourth Proportional to 690.52, 953.28 and 441.92

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Solution

The fourth proportional to 690.52, 953.28 and 441.92 is: 610.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.52 : 953.28 = 441.92 : x
  2. Step 2: Convert to fraction form
    690.52/953.28 = 441.92/x
  3. Step 3: Cross multiply
    690.52x = 953.28 × 441.92
  4. Step 4: Simplify right side
    690.52x = 421,273.50
  5. Step 5: Solve for x
    x = 421,273.50/690.52
  6. Step 6: Final answer
    x = 610.08

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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.