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Finding the Fourth Proportional to 1,109.76, 1,662.36 and 525.30

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Solution

The fourth proportional to 1,109.76, 1,662.36 and 525.30 is: 786.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.76 : 1,662.36 = 525.30 : x
  2. Step 2: Convert to fraction form
    1,109.76/1,662.36 = 525.30/x
  3. Step 3: Cross multiply
    1,109.76x = 1,662.36 × 525.30
  4. Step 4: Simplify right side
    1,109.76x = 873,237.71
  5. Step 5: Solve for x
    x = 873,237.71/1,109.76
  6. Step 6: Final answer
    x = 786.87

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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.