Home / 1,553.20-2,329.82-457.58

Finding the Fourth Proportional to 1,553.20, 2,329.82 and 457.58

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Solution

The fourth proportional to 1,553.20, 2,329.82 and 457.58 is: 686.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,553.20 : 2,329.82 = 457.58 : x
  2. Step 2: Convert to fraction form
    1,553.20/2,329.82 = 457.58/x
  3. Step 3: Cross multiply
    1,553.20x = 2,329.82 × 457.58
  4. Step 4: Simplify right side
    1,553.20x = 1,066,082.57
  5. Step 5: Solve for x
    x = 1,066,082.57/1,553.20
  6. Step 6: Final answer
    x = 686.38

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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.