Home / 1,156.23-1,733.14-539.43

Finding the Fourth Proportional to 1,156.23, 1,733.14 and 539.43

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Solution

The fourth proportional to 1,156.23, 1,733.14 and 539.43 is: 808.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.23 : 1,733.14 = 539.43 : x
  2. Step 2: Convert to fraction form
    1,156.23/1,733.14 = 539.43/x
  3. Step 3: Cross multiply
    1,156.23x = 1,733.14 × 539.43
  4. Step 4: Simplify right side
    1,156.23x = 934,907.71
  5. Step 5: Solve for x
    x = 934,907.71/1,156.23
  6. Step 6: Final answer
    x = 808.58

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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.