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Finding the Fourth Proportional to 812.03, 1,120.51 and 457.93

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Solution

The fourth proportional to 812.03, 1,120.51 and 457.93 is: 631.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.03 : 1,120.51 = 457.93 : x
  2. Step 2: Convert to fraction form
    812.03/1,120.51 = 457.93/x
  3. Step 3: Cross multiply
    812.03x = 1,120.51 × 457.93
  4. Step 4: Simplify right side
    812.03x = 513,115.14
  5. Step 5: Solve for x
    x = 513,115.14/812.03
  6. Step 6: Final answer
    x = 631.89

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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.