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Finding the Fourth Proportional to 809.33, 1,116.86 and 455.19

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Solution

The fourth proportional to 809.33, 1,116.86 and 455.19 is: 628.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.33 : 1,116.86 = 455.19 : x
  2. Step 2: Convert to fraction form
    809.33/1,116.86 = 455.19/x
  3. Step 3: Cross multiply
    809.33x = 1,116.86 × 455.19
  4. Step 4: Simplify right side
    809.33x = 508,381.23
  5. Step 5: Solve for x
    x = 508,381.23/809.33
  6. Step 6: Final answer
    x = 628.15

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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.