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Finding the Fourth Proportional to 923.16, 1,385.46 and 865.74

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Solution

The fourth proportional to 923.16, 1,385.46 and 865.74 is: 1,299.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.16 : 1,385.46 = 865.74 : x
  2. Step 2: Convert to fraction form
    923.16/1,385.46 = 865.74/x
  3. Step 3: Cross multiply
    923.16x = 1,385.46 × 865.74
  4. Step 4: Simplify right side
    923.16x = 1,199,448.14
  5. Step 5: Solve for x
    x = 1,199,448.14/923.16
  6. Step 6: Final answer
    x = 1,299.29

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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.