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Finding the Fourth Proportional to 1,020.13, 1,530.16 and 443.00

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Solution

The fourth proportional to 1,020.13, 1,530.16 and 443.00 is: 664.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.13 : 1,530.16 = 443.00 : x
  2. Step 2: Convert to fraction form
    1,020.13/1,530.16 = 443.00/x
  3. Step 3: Cross multiply
    1,020.13x = 1,530.16 × 443.00
  4. Step 4: Simplify right side
    1,020.13x = 677,863.60
  5. Step 5: Solve for x
    x = 677,863.60/1,020.13
  6. Step 6: Final answer
    x = 664.49

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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.