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Finding the Fourth Proportional to 809.24, 1,116.74 and 473.22

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Solution

The fourth proportional to 809.24, 1,116.74 and 473.22 is: 653.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.24 : 1,116.74 = 473.22 : x
  2. Step 2: Convert to fraction form
    809.24/1,116.74 = 473.22/x
  3. Step 3: Cross multiply
    809.24x = 1,116.74 × 473.22
  4. Step 4: Simplify right side
    809.24x = 528,463.70
  5. Step 5: Solve for x
    x = 528,463.70/809.24
  6. Step 6: Final answer
    x = 653.04

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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.