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Finding the Fourth Proportional to 847.69, 1,169.71 and 493.69

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Solution

The fourth proportional to 847.69, 1,169.71 and 493.69 is: 681.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.69 : 1,169.71 = 493.69 : x
  2. Step 2: Convert to fraction form
    847.69/1,169.71 = 493.69/x
  3. Step 3: Cross multiply
    847.69x = 1,169.71 × 493.69
  4. Step 4: Simplify right side
    847.69x = 577,470.26
  5. Step 5: Solve for x
    x = 577,470.26/847.69
  6. Step 6: Final answer
    x = 681.23

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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.