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Finding the Fourth Proportional to 786.83, 1,085.85 and 432.76

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Solution

The fourth proportional to 786.83, 1,085.85 and 432.76 is: 597.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.83 : 1,085.85 = 432.76 : x
  2. Step 2: Convert to fraction form
    786.83/1,085.85 = 432.76/x
  3. Step 3: Cross multiply
    786.83x = 1,085.85 × 432.76
  4. Step 4: Simplify right side
    786.83x = 469,914.44
  5. Step 5: Solve for x
    x = 469,914.44/786.83
  6. Step 6: Final answer
    x = 597.23

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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.