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Finding the Fourth Proportional to 1,109.34, 1,660.40 and 816.77

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Solution

The fourth proportional to 1,109.34, 1,660.40 and 816.77 is: 1,222.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.34 : 1,660.40 = 816.77 : x
  2. Step 2: Convert to fraction form
    1,109.34/1,660.40 = 816.77/x
  3. Step 3: Cross multiply
    1,109.34x = 1,660.40 × 816.77
  4. Step 4: Simplify right side
    1,109.34x = 1,356,164.91
  5. Step 5: Solve for x
    x = 1,356,164.91/1,109.34
  6. Step 6: Final answer
    x = 1,222.50

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1.5x scale

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.