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Finding the Fourth Proportional to 930.07, 1,395.51 and 843.40

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Solution

The fourth proportional to 930.07, 1,395.51 and 843.40 is: 1,265.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.07 : 1,395.51 = 843.40 : x
  2. Step 2: Convert to fraction form
    930.07/1,395.51 = 843.40/x
  3. Step 3: Cross multiply
    930.07x = 1,395.51 × 843.40
  4. Step 4: Simplify right side
    930.07x = 1,176,973.13
  5. Step 5: Solve for x
    x = 1,176,973.13/930.07
  6. Step 6: Final answer
    x = 1,265.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.