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Finding the Fourth Proportional to 830.51, 1,143.60 and 812.29

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Solution

The fourth proportional to 830.51, 1,143.60 and 812.29 is: 1,118.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.51 : 1,143.60 = 812.29 : x
  2. Step 2: Convert to fraction form
    830.51/1,143.60 = 812.29/x
  3. Step 3: Cross multiply
    830.51x = 1,143.60 × 812.29
  4. Step 4: Simplify right side
    830.51x = 928,929.13
  5. Step 5: Solve for x
    x = 928,929.13/830.51
  6. Step 6: Final answer
    x = 1,118.50

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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.