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Finding the Fourth Proportional to 690.29, 952.25 and 441.35

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Solution

The fourth proportional to 690.29, 952.25 and 441.35 is: 608.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.29 : 952.25 = 441.35 : x
  2. Step 2: Convert to fraction form
    690.29/952.25 = 441.35/x
  3. Step 3: Cross multiply
    690.29x = 952.25 × 441.35
  4. Step 4: Simplify right side
    690.29x = 420,268.57
  5. Step 5: Solve for x
    x = 420,268.57/690.29
  6. Step 6: Final answer
    x = 608.83

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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.