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Finding the Fourth Proportional to 1,020.23, 1,530.32 and 685.91

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Solution

The fourth proportional to 1,020.23, 1,530.32 and 685.91 is: 1,028.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.23 : 1,530.32 = 685.91 : x
  2. Step 2: Convert to fraction form
    1,020.23/1,530.32 = 685.91/x
  3. Step 3: Cross multiply
    1,020.23x = 1,530.32 × 685.91
  4. Step 4: Simplify right side
    1,020.23x = 1,049,662.19
  5. Step 5: Solve for x
    x = 1,049,662.19/1,020.23
  6. Step 6: Final answer
    x = 1,028.85

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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.