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Finding the Fourth Proportional to 943.79, 1,405.15 and 930.12

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Solution

The fourth proportional to 943.79, 1,405.15 and 930.12 is: 1,384.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.79 : 1,405.15 = 930.12 : x
  2. Step 2: Convert to fraction form
    943.79/1,405.15 = 930.12/x
  3. Step 3: Cross multiply
    943.79x = 1,405.15 × 930.12
  4. Step 4: Simplify right side
    943.79x = 1,306,950.52
  5. Step 5: Solve for x
    x = 1,306,950.52/943.79
  6. Step 6: Final answer
    x = 1,384.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.