Home / 1,020.07-1,530.24-403.75

Finding the Fourth Proportional to 1,020.07, 1,530.24 and 403.75

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Solution

The fourth proportional to 1,020.07, 1,530.24 and 403.75 is: 605.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.07 : 1,530.24 = 403.75 : x
  2. Step 2: Convert to fraction form
    1,020.07/1,530.24 = 403.75/x
  3. Step 3: Cross multiply
    1,020.07x = 1,530.24 × 403.75
  4. Step 4: Simplify right side
    1,020.07x = 617,834.40
  5. Step 5: Solve for x
    x = 617,834.40/1,020.07
  6. Step 6: Final answer
    x = 605.68

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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.