Home / 1,020.34-1,529.97-403.66

Finding the Fourth Proportional to 1,020.34, 1,529.97 and 403.66

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Solution

The fourth proportional to 1,020.34, 1,529.97 and 403.66 is: 605.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.34 : 1,529.97 = 403.66 : x
  2. Step 2: Convert to fraction form
    1,020.34/1,529.97 = 403.66/x
  3. Step 3: Cross multiply
    1,020.34x = 1,529.97 × 403.66
  4. Step 4: Simplify right side
    1,020.34x = 617,587.69
  5. Step 5: Solve for x
    x = 617,587.69/1,020.34
  6. Step 6: Final answer
    x = 605.28

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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.