Home / 1,020.18-1,530.27-500.57

Finding the Fourth Proportional to 1,020.18, 1,530.27 and 500.57

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Solution

The fourth proportional to 1,020.18, 1,530.27 and 500.57 is: 750.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.18 : 1,530.27 = 500.57 : x
  2. Step 2: Convert to fraction form
    1,020.18/1,530.27 = 500.57/x
  3. Step 3: Cross multiply
    1,020.18x = 1,530.27 × 500.57
  4. Step 4: Simplify right side
    1,020.18x = 765,999.60
  5. Step 5: Solve for x
    x = 765,999.60/1,020.18
  6. Step 6: Final answer
    x = 750.85

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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.