Home / 1,020.23-1,529.84-604.19

Finding the Fourth Proportional to 1,020.23, 1,529.84 and 604.19

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Solution

The fourth proportional to 1,020.23, 1,529.84 and 604.19 is: 905.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.23 : 1,529.84 = 604.19 : x
  2. Step 2: Convert to fraction form
    1,020.23/1,529.84 = 604.19/x
  3. Step 3: Cross multiply
    1,020.23x = 1,529.84 × 604.19
  4. Step 4: Simplify right side
    1,020.23x = 924,314.03
  5. Step 5: Solve for x
    x = 924,314.03/1,020.23
  6. Step 6: Final answer
    x = 905.99

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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.