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Finding the Fourth Proportional to 812.19, 1,120.75 and 458.20

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Solution

The fourth proportional to 812.19, 1,120.75 and 458.20 is: 632.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.19 : 1,120.75 = 458.20 : x
  2. Step 2: Convert to fraction form
    812.19/1,120.75 = 458.20/x
  3. Step 3: Cross multiply
    812.19x = 1,120.75 × 458.20
  4. Step 4: Simplify right side
    812.19x = 513,522.05
  5. Step 5: Solve for x
    x = 513,522.05/812.19
  6. Step 6: Final answer
    x = 632.27

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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.