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Finding the Fourth Proportional to 1,020.49, 1,530.72 and 327.16

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Solution

The fourth proportional to 1,020.49, 1,530.72 and 327.16 is: 490.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.49 : 1,530.72 = 327.16 : x
  2. Step 2: Convert to fraction form
    1,020.49/1,530.72 = 327.16/x
  3. Step 3: Cross multiply
    1,020.49x = 1,530.72 × 327.16
  4. Step 4: Simplify right side
    1,020.49x = 500,781.07
  5. Step 5: Solve for x
    x = 500,781.07/1,020.49
  6. Step 6: Final answer
    x = 490.73

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Double scale
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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.