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Finding the Fourth Proportional to 943.74, 1,307.97 and 929.70

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Solution

The fourth proportional to 943.74, 1,307.97 and 929.70 is: 1,288.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.74 : 1,307.97 = 929.70 : x
  2. Step 2: Convert to fraction form
    943.74/1,307.97 = 929.70/x
  3. Step 3: Cross multiply
    943.74x = 1,307.97 × 929.70
  4. Step 4: Simplify right side
    943.74x = 1,216,019.71
  5. Step 5: Solve for x
    x = 1,216,019.71/943.74
  6. Step 6: Final answer
    x = 1,288.51

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.