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Finding the Fourth Proportional to 786.41, 1,179.77 and 421.61

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Solution

The fourth proportional to 786.41, 1,179.77 and 421.61 is: 632.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.41 : 1,179.77 = 421.61 : x
  2. Step 2: Convert to fraction form
    786.41/1,179.77 = 421.61/x
  3. Step 3: Cross multiply
    786.41x = 1,179.77 × 421.61
  4. Step 4: Simplify right side
    786.41x = 497,394.82
  5. Step 5: Solve for x
    x = 497,394.82/786.41
  6. Step 6: Final answer
    x = 632.49

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Half scale
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Double scale
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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.