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Finding the Fourth Proportional to 690.28, 952.14 and 441.50

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Solution

The fourth proportional to 690.28, 952.14 and 441.50 is: 608.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.28 : 952.14 = 441.50 : x
  2. Step 2: Convert to fraction form
    690.28/952.14 = 441.50/x
  3. Step 3: Cross multiply
    690.28x = 952.14 × 441.50
  4. Step 4: Simplify right side
    690.28x = 420,369.81
  5. Step 5: Solve for x
    x = 420,369.81/690.28
  6. Step 6: Final answer
    x = 608.98

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1.5x scale

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.