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Finding the Fourth Proportional to 1,193.04, 1,789.56 and 423

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Solution

The fourth proportional to 1,193.04, 1,789.56 and 423 is: 634.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.04 : 1,789.56 = 423 : x
  2. Step 2: Convert to fraction form
    1,193.04/1,789.56 = 423/x
  3. Step 3: Cross multiply
    1,193.04x = 1,789.56 × 423
  4. Step 4: Simplify right side
    1,193.04x = 756,983.88
  5. Step 5: Solve for x
    x = 756,983.88/1,193.04
  6. Step 6: Final answer
    x = 634.50

Related Problems

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Half scale
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Double scale
Find fourth proportional to 1,194.04, 1,791.06 and 424
Similar ratio
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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.