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Finding the Fourth Proportional to 946.04, 1,423.17 and 896.81

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Solution

The fourth proportional to 946.04, 1,423.17 and 896.81 is: 1,349.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.04 : 1,423.17 = 896.81 : x
  2. Step 2: Convert to fraction form
    946.04/1,423.17 = 896.81/x
  3. Step 3: Cross multiply
    946.04x = 1,423.17 × 896.81
  4. Step 4: Simplify right side
    946.04x = 1,276,305.97
  5. Step 5: Solve for x
    x = 1,276,305.97/946.04
  6. Step 6: Final answer
    x = 1,349.11

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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.