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Finding the Fourth Proportional to 646.82, 970.52 and 300.24

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Solution

The fourth proportional to 646.82, 970.52 and 300.24 is: 450.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.82 : 970.52 = 300.24 : x
  2. Step 2: Convert to fraction form
    646.82/970.52 = 300.24/x
  3. Step 3: Cross multiply
    646.82x = 970.52 × 300.24
  4. Step 4: Simplify right side
    646.82x = 291,387.42
  5. Step 5: Solve for x
    x = 291,387.42/646.82
  6. Step 6: Final answer
    x = 450.49

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.