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Finding the Fourth Proportional to 690.26, 952.31 and 391.46

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Solution

The fourth proportional to 690.26, 952.31 and 391.46 is: 540.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.26 : 952.31 = 391.46 : x
  2. Step 2: Convert to fraction form
    690.26/952.31 = 391.46/x
  3. Step 3: Cross multiply
    690.26x = 952.31 × 391.46
  4. Step 4: Simplify right side
    690.26x = 372,787.81
  5. Step 5: Solve for x
    x = 372,787.81/690.26
  6. Step 6: Final answer
    x = 540.07

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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.