Home / 1,109.45-1,664.17-530.57

Finding the Fourth Proportional to 1,109.45, 1,664.17 and 530.57

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Solution

The fourth proportional to 1,109.45, 1,664.17 and 530.57 is: 795.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.45 : 1,664.17 = 530.57 : x
  2. Step 2: Convert to fraction form
    1,109.45/1,664.17 = 530.57/x
  3. Step 3: Cross multiply
    1,109.45x = 1,664.17 × 530.57
  4. Step 4: Simplify right side
    1,109.45x = 882,958.68
  5. Step 5: Solve for x
    x = 882,958.68/1,109.45
  6. Step 6: Final answer
    x = 795.85

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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.