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Finding the Fourth Proportional to 924.73, 1,389.11 and 682.81

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Solution

The fourth proportional to 924.73, 1,389.11 and 682.81 is: 1,025.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.73 : 1,389.11 = 682.81 : x
  2. Step 2: Convert to fraction form
    924.73/1,389.11 = 682.81/x
  3. Step 3: Cross multiply
    924.73x = 1,389.11 × 682.81
  4. Step 4: Simplify right side
    924.73x = 948,492.96
  5. Step 5: Solve for x
    x = 948,492.96/924.73
  6. Step 6: Final answer
    x = 1,025.70

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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.