Home / 1,142.50-1,712.58-557.20

Finding the Fourth Proportional to 1,142.50, 1,712.58 and 557.20

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Solution

The fourth proportional to 1,142.50, 1,712.58 and 557.20 is: 835.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.50 : 1,712.58 = 557.20 : x
  2. Step 2: Convert to fraction form
    1,142.50/1,712.58 = 557.20/x
  3. Step 3: Cross multiply
    1,142.50x = 1,712.58 × 557.20
  4. Step 4: Simplify right side
    1,142.50x = 954,249.58
  5. Step 5: Solve for x
    x = 954,249.58/1,142.50
  6. Step 6: Final answer
    x = 835.23

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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.