Home / 1,052.04-1,578.49-436.17

Finding the Fourth Proportional to 1,052.04, 1,578.49 and 436.17

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Solution

The fourth proportional to 1,052.04, 1,578.49 and 436.17 is: 654.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.04 : 1,578.49 = 436.17 : x
  2. Step 2: Convert to fraction form
    1,052.04/1,578.49 = 436.17/x
  3. Step 3: Cross multiply
    1,052.04x = 1,578.49 × 436.17
  4. Step 4: Simplify right side
    1,052.04x = 688,489.98
  5. Step 5: Solve for x
    x = 688,489.98/1,052.04
  6. Step 6: Final answer
    x = 654.43

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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.