Home / 1,156.14-1,733.90-462.56

Finding the Fourth Proportional to 1,156.14, 1,733.90 and 462.56

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Solution

The fourth proportional to 1,156.14, 1,733.90 and 462.56 is: 693.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.14 : 1,733.90 = 462.56 : x
  2. Step 2: Convert to fraction form
    1,156.14/1,733.90 = 462.56/x
  3. Step 3: Cross multiply
    1,156.14x = 1,733.90 × 462.56
  4. Step 4: Simplify right side
    1,156.14x = 802,032.78
  5. Step 5: Solve for x
    x = 802,032.78/1,156.14
  6. Step 6: Final answer
    x = 693.72

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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.