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Finding the Fourth Proportional to 847.69, 1,169.93 and 493.73

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Solution

The fourth proportional to 847.69, 1,169.93 and 493.73 is: 681.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.69 : 1,169.93 = 493.73 : x
  2. Step 2: Convert to fraction form
    847.69/1,169.93 = 493.73/x
  3. Step 3: Cross multiply
    847.69x = 1,169.93 × 493.73
  4. Step 4: Simplify right side
    847.69x = 577,629.31
  5. Step 5: Solve for x
    x = 577,629.31/847.69
  6. Step 6: Final answer
    x = 681.42

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.