Home / 1,109.04-1,664.55-524.76

Finding the Fourth Proportional to 1,109.04, 1,664.55 and 524.76

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Solution

The fourth proportional to 1,109.04, 1,664.55 and 524.76 is: 787.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.04 : 1,664.55 = 524.76 : x
  2. Step 2: Convert to fraction form
    1,109.04/1,664.55 = 524.76/x
  3. Step 3: Cross multiply
    1,109.04x = 1,664.55 × 524.76
  4. Step 4: Simplify right side
    1,109.04x = 873,489.26
  5. Step 5: Solve for x
    x = 873,489.26/1,109.04
  6. Step 6: Final answer
    x = 787.61

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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.