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Finding the Fourth Proportional to 985.69, 1,478.53 and 301.69

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Solution

The fourth proportional to 985.69, 1,478.53 and 301.69 is: 452.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.69 : 1,478.53 = 301.69 : x
  2. Step 2: Convert to fraction form
    985.69/1,478.53 = 301.69/x
  3. Step 3: Cross multiply
    985.69x = 1,478.53 × 301.69
  4. Step 4: Simplify right side
    985.69x = 446,057.72
  5. Step 5: Solve for x
    x = 446,057.72/985.69
  6. Step 6: Final answer
    x = 452.53

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Double scale
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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.