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Finding the Fourth Proportional to 943.59, 1,300.54 and 812.07

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Solution

The fourth proportional to 943.59, 1,300.54 and 812.07 is: 1,119.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.59 : 1,300.54 = 812.07 : x
  2. Step 2: Convert to fraction form
    943.59/1,300.54 = 812.07/x
  3. Step 3: Cross multiply
    943.59x = 1,300.54 × 812.07
  4. Step 4: Simplify right side
    943.59x = 1,056,125.46
  5. Step 5: Solve for x
    x = 1,056,125.46/943.59
  6. Step 6: Final answer
    x = 1,119.26

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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.