Home / 1,021.20-1,409.59-601.53

Finding the Fourth Proportional to 1,021.20, 1,409.59 and 601.53

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Solution

The fourth proportional to 1,021.20, 1,409.59 and 601.53 is: 830.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.20 : 1,409.59 = 601.53 : x
  2. Step 2: Convert to fraction form
    1,021.20/1,409.59 = 601.53/x
  3. Step 3: Cross multiply
    1,021.20x = 1,409.59 × 601.53
  4. Step 4: Simplify right side
    1,021.20x = 847,910.67
  5. Step 5: Solve for x
    x = 847,910.67/1,021.20
  6. Step 6: Final answer
    x = 830.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.