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Finding the Fourth Proportional to 924.30, 1,274.69 and 688.83

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Solution

The fourth proportional to 924.30, 1,274.69 and 688.83 is: 949.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.30 : 1,274.69 = 688.83 : x
  2. Step 2: Convert to fraction form
    924.30/1,274.69 = 688.83/x
  3. Step 3: Cross multiply
    924.30x = 1,274.69 × 688.83
  4. Step 4: Simplify right side
    924.30x = 878,041.27
  5. Step 5: Solve for x
    x = 878,041.27/924.30
  6. Step 6: Final answer
    x = 949.95

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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.