Home / 1,020.23-1,530.32-326.89

Finding the Fourth Proportional to 1,020.23, 1,530.32 and 326.89

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Solution

The fourth proportional to 1,020.23, 1,530.32 and 326.89 is: 490.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.23 : 1,530.32 = 326.89 : x
  2. Step 2: Convert to fraction form
    1,020.23/1,530.32 = 326.89/x
  3. Step 3: Cross multiply
    1,020.23x = 1,530.32 × 326.89
  4. Step 4: Simplify right side
    1,020.23x = 500,246.30
  5. Step 5: Solve for x
    x = 500,246.30/1,020.23
  6. Step 6: Final answer
    x = 490.33

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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.