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Finding the Fourth Proportional to 985.70, 1,478.54 and 301.70

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Solution

The fourth proportional to 985.70, 1,478.54 and 301.70 is: 452.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.70 : 1,478.54 = 301.70 : x
  2. Step 2: Convert to fraction form
    985.70/1,478.54 = 301.70/x
  3. Step 3: Cross multiply
    985.70x = 1,478.54 × 301.70
  4. Step 4: Simplify right side
    985.70x = 446,066.62
  5. Step 5: Solve for x
    x = 446,066.62/985.70
  6. Step 6: Final answer
    x = 452.54

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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.