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Finding the Fourth Proportional to 690.25, 952 and 480.42

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Solution

The fourth proportional to 690.25, 952 and 480.42 is: 662.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.25 : 952 = 480.42 : x
  2. Step 2: Convert to fraction form
    690.25/952 = 480.42/x
  3. Step 3: Cross multiply
    690.25x = 952 × 480.42
  4. Step 4: Simplify right side
    690.25x = 457,359.84
  5. Step 5: Solve for x
    x = 457,359.84/690.25
  6. Step 6: Final answer
    x = 662.60

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Double scale
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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.